( f ∘ g ) ( x ) is equivalent to f ( g ( x ) ) . We solve this problem just as we solve f ( x ) . But since it asks us to find out f ( g ( x ) ) , in f ( x ) , each time we encounter x, we replace it with g ( x ) . In the above problem, f ( x ) = x + 3 . Therefore, f ( g ( x ) ) = g ( x ) + 3 . ⇒ ( f ∘ g ) ( x ) = 2 x − 7 + 3 ⇒ ( f ∘ g ) ( x ) = 2 x − 4 Basically, write the g ( x ) equation where you see the x in the f ( x ) equation. f ∘ g ( x ) = ( g ( x ) ) + 3 Replace g ( x ) with the equation f ∘ g ( x ) = ( 2 x − 7 ) + 3 f ∘ g ( x ) = 2 x − 7 + 3 we just took away the parentheses f ∘ g ( x ) = 2 x − 4 Because the − 7 + 3 = 4 This is it g ∘ f ( x ) would be the other way around g ∘ f ( x ) = 2 ( x + 3 ) − 7 now you have to multiply what is inside parentheses by 2 because thats whats directly in front of them. g ∘ f ( x ) = 2 x + 6 − 7 Next, + 6 − 7 = − 1 g ∘ f ( x ) = 2 x − 1
Hello,
[tex]f(x)=7x-3\\g(x)=x^2\\\\(fog)(x)=g(f(x))=g(7x-3)=(7x-3)^2=49x^2-42x+9\\\\(gof)(x)=f(g(x))=f(x^2)=7x^2-3\\\\(fog)(0)=g(f(0))=49*0^2-42*0+9=9\\\\(gof)(0)=f(g(0))=7*0^2-3=-3\\[/tex]
Since i don't know what is (g°O(1) and you haven't correct your question ,
i has put the 2 possibles answsers.
Complete the function for this graph.
Answer:
k(x) = -2|x - (-3)| + 4
Step-by-step explanation:
Parent function for the graph is,
f(x) = |x|
If the parent function is vertically stretched by a scale factor of 2,
New function will be,
g(x) = 2|x|
If the function 'g' is reflected across x-axis,
h(x) = -2|x|
If the function 'h' is translated 3 units left and 4 units upwards, new function will be,
k(x) = -2|x - (-3)| + 4
help me pls pls !!!!! help
plzz help me out i really need help
Ifm22 = 115°, what is m21?
Answer:
Step-by-step explanation:
If the measure of angle 5 is (3x + 50) degrees and the measure of angle 6 is (5x + 16) degrees, what value of x will guarantee equation AB \\ DE
Answer:
x = 17
Step-by-step explanation:
If AB // DE, then angle 5 and angle 6 are alternate interior angle and they should be congruent.
5x + 16 = 3x + 50
Subtract 16 from both sides
5x = 3x + 50 - 16
5x = 3x + 34
Subtract 3x from both sides
5x - 3x = 34
2x = 34
Divide both sides by 2
x = 34/2
x = 17
Answer:
To AB \\ DEangle 5 should be equal to angle 63x + 50 = 5x + 16
5x - 3x = 50-16
2x = 34
x = 17
Help me solve this problem please
Answer:
C: 165mi, 40mi, 115mi
Step-by-step explanation:
hope it helps :)
What is the capacity of a rectangular tank calculated to the nearest litre? Length: 85cm Width: 65cm Height: 30cm
Answer:
Capacity of the rectangular tank in litres is 165.75l
Step-by-step explanation:
Volume of the tank
[tex] = lbh[/tex]
[tex] = 85 \times 65 \times 30[/tex]
[tex] = 165750 {cm}^{3} [/tex]
Capacity of the tank
[tex] = 165750ml[/tex]
[tex] = 165.75l[/tex]
Please help me solve this guys
I’m really struggling
Answer:
(y - 1) = 4(x +1)
Step-by-step explanation:
slope = 4
B = -4
given point (-1,1)
y = 4x -4 (this is the slope intercept form)
[tex](Y - Y_{1 }) = M (X - X_{1} )[/tex] (point slope form)
(y - 1) = 4(x +1) ... that is the point slope form
how to write an interval x -3
Step-by-step explanation:
We write that x belongs to the interval if a ≤ x ≤ b. Graphically, a closed interval is represented by a segment whose two ends are filled. To write this interval in interval notation, you must use square brackets: [a,b].
what is circle graph or pie chart?
Answer: read below
Step-by-step explanation:
A circle graph is a graph showing proportions of thing that label the person by using different colours
Question 24 of 42
Which of the following conditions is not sufficient to show that the two
triangles are congruent?
AA
A
X Х
5-
A. AABC and Axyz have the same orientation.
B. The rise and run of the translation between each pair of
corresponding points are the same.
A
Answer:
I think A is correct
Step-by-step explanation:
I can't see D so I'm not sure, hope it's right
Find an equivalent ratio for the proportional relationship. PQ restaurant offers 5 chicken rolls for $6.
Answer:
5:6 lol
Step-by-step explanation:
what’s the answer to this?
Which of the following equations is equivalent to 6(3p – 2) = 20?
18p – 2 = 20
18p – 12 = 20
9p – 8 = 20
9p – 4 = 20
Answer:
18p - 12 = 20
Step-by-step explanation:
=> 6(3p – 2) = 20
=> 6x3p – 6x2 = 20
=> 18p - 12 = 20
Answer:
18p -12 = 20
Step-by-step explanation:
6(3p – 2) = 20
Distribute
6*3p - 6*2 =20
18p -12 = 20
Can someone help me with this math homework please!
Answer:
DOMAIN
input values belong to domainset of values for the independent variable is called the domainRANGE
output values belong to range set of values for the dependant variable is called the rangeThe math club sold 15 novelty erasers and made a profit of
$7. After another week, the club had sold a total of 25
erasers and made a profit of $15. Which equation models
the total profit, y, based on the number of erasers sold, X?
A. y - 15 = 0.8(x - 7)
B. y - 15 = 1.25(x - 7)
C. y - 7 = 0.8(x - 15)
D. y - 7 = 1.25(x - 15)
Solve for x. Round to the nearest tenth, if necessary.
Answer:
5.3938654741
Step-by-step explanation:
x=5.1/cos(19) = 5.39386547405
The value of the variable 'x' using the cosine formula will be 5.4 units.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
The value of 'x' is given by the cosine of the angle ∠LKM. And the cosine of an angle is the ratio of the base and hypotenuse of the right-angle triangle. Then we have
cos 19° = 5.1 / x
x = 5.4
The value of the variable 'x' using the cosine formula will be 5.4 units.
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
#SPJ7
What is the slope of y = - x + 7
[tex] \green{\huge{\red{\boxed{\green{\mathfrak{QUESTION}}}}}} [/tex]
What is the slope of y = - x + 7
[tex] \red{ \bold{ \textit{STANDARD \: EQUATION}}}[/tex]
[tex]y = mx + c[/tex]
[tex]WHERE \\ m = SLOPE \\ c = Y - INTERCEPT[/tex]
[tex] \huge\green{\boxed{\huge\mathbb{\red A \pink{N}\purple{S} \blue{W} \orange{ER}}}}[/tex]
[tex] \blue{A.T.Q}[/tex]
[tex]y = mx + c \sim y = ( - 1)x + 7[/tex]
[tex] \orange{SO}[/tex]
m= (-1)
which is equal to the slope of the equation .
[tex] \red \star{Thanks \: And \: Brainlist} \blue\star \\ \green\star If \: U \: Liked \: My \: Answer \purple \star[/tex]
PLZ ANSWER ILL GIVE BRAINLIEST
Answer:
B. neither perpendicular nor parallel
Step-by-step explanation:
to be perpendicular, the slopes have to be complete opposites. in this case, the second term would have to be y=-0.5x to be perpendicular. to be parallel, the two would have to have the same slopes; so y=2x and y=2x
A recipe for a soup calls for 2/4 cup of chopped onion and 1/5 cup of chopped
celery. What is the total amount of celery and onion needed for the soup?
Answer:
The total amount of celery and onion needed for the soup is 7/10 cup.
Step-by-step explanation:
2/4 + 1/5 = 7/10 cup.
hope it helped :)
mark me brainliest!
Solve each system of equations by substitution. Clearly identify your solution.
Answer:
(-3, 5)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Coordinates (x, y)Terms/CoefficientsSolving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
y = x + 8
x + y = 2
Step 2: Solve for x
Substitution
Substitute in y [2nd Equation]: x + x + 8 = 2Combine like terms: 2x + 8 = 2[Subtraction Property of Equality] Subtract 8 on both sides: 2x = -6[Division Property of Equality] Divide 2 on both sides: x = -3Step 3: Solve for y
Substitute in x [1st Equation]: y = -3 + 8Add: y = 5Answer:
x = - 3
y = 5
Step-by-step explanation:
y = x + 8 ------(I)
x + y = 2 -------------(II)
Substitute y = x + 8 in equation (II)
x + x + 8 = 2
Combine like terms
2x + 8 = 2
Subtract r from both sides
2x = 2- 8
2x = -6
Divide both sides by 2
x = -6/2
x = -3
Plug in x = -3 in equation (I)
y = -3 + 8
y = 5
Help pleaseeeee
Asappp
Answer:
Rs. 2400
Step-by-step explanation:
.25(x -.1x) = 540
(x -.1x) = 2160
(.9x) = 2160
x = 2400
Step-by-step explanation:
hope this helps you 830.77
if 8 out of every 10 high school students take a math class, how many students in a high school with 700 students are in the math class?
Answer:
560
Step-by-step explanation:
8 out of 10 is 80%, so then the answer would be 80% of 700, which would be 560
solve the simultaneous equation: x-y=2
xy=36
Answer:
Y= –7.08, 5.08
Step-by-step explanation:
hope ya ready bro.
X=36/Y
replace 36/y instead of X
36/Y–Y=2===> 36–Y²=2Y===> Y²+2Y–36=0
Y1= –1+√37≈ –7.08
Y2= –1–√37≈ 5.08
Far behind does anyone know this?
Answer:
the answer is A
Step-by-step explanation:
comment if you want explanation
Answer:
A is the answer to your question
.. A machine in a candy company creates 9,328 pieces of candy each hour. If a box of candy has 98 pieces in it, how many boxes does the machine make in one hour? The machine makes boxes each hour.
What is the classification for this polynomial? X2y+3x3
Answer:
quadratic
Step-by-step explanation:
hope you got it
Which segment is opposite to∠E?
Answer:
UJ
Step-by-step explanation:
The side that is opposite angle E is UJ
Since this is a triangle, we use the corners that do not touch the angle, U and J and the segment is the one that connects them
Paul's company rents cars to people who are at least 25 years old. Which graph best represents the possible ages of people who can rent cars from Paul's company?
A number line with an open circle on 25, with shading to the right.
A number line with a closed circle on 25, with shading to the right.
A number line with an open circle on 25, with shading to the left.
A number line with a closed circle on 25, with shading to the left.
Answer:
A number line with a closed circle on 25, with shading to the right.
Explanation:
A closed circle means "greater than or equal to" or "less than or equal to".
A open circle means "less than" or "greater than"
Therefore, since the question says: "who are at least 25 years old", a closed circle is the correct answer.
And says it says "at least 25 years old" it means that it shaded to the right, and that the circle is on the number 25.
Answer:
A number line with a closed circle on 25, with shading to the right.
Step-by-step explanation:
...
x/5 = 2/3 = 5/y find the ratio from x to y
Answer:B
Step-by-step explanation:because im smart
