Given f(x) = 2x2 − 4 and g(x) = −2x + 2, find the following.   g f   (−3)

Q: If f′(2)=3, and g(x)=9f(x), what is g′(2)?

A:

Q: F(X) = -X4  + X2 +3 How to solve for x?

A: Given,

Q: 3. Find the extreme values of the function y = x3 – 2x + 4 and where they occur 2

A:

Q: Find the inflection points of f(x) = –x* + 24x² + 5x – 4.

A:

Q: If g(x) = 3x – 7 and h(x) = x², find h(g(2)).

A:

Q: fG) = x sc)=3x+12 ($09) (x)=

A: To find g0g(x) Given that  f(x)=1/x and g(x)=3x+12

Q: Given g(x)=/3x – 4h(x)= 3x+5 Find g(h(x)) What is the domain?

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Q: x + 4 if f = 2r3 +1, find f(1). 5x – 4 -

A: Given,

Q: With f(x) = 4 – 3x and g(x) = 2x2 – 3x + 1, find: a) f(5) b) g(-2) c) f(4 – 2y) d) g(x + 4)

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Q: f(x) = – 0.5x2 – 3x – 4?  Find the end behaviour

A:

Q: 1. Find the range of values of x for which y = x3 + 5x2 - 8x + 1 is increasing.

A: We have to find the range value of x

Q: R = 840x + 207x² – x³ X = units

A:

Q: Find the number of units x that produces a maximum revenue R in the given equation. R = 108x2/3 −…

A: R=108x2/3-6x

Q: Find the values of k for which f(x) = kx3 -9kx2+9x+3 is increasing on R

A:

Q: Find the number of units x that produces a maximum revenue R in the given equation. R = 33x2/3 – 2x…

A: Given:- R = 33x(2/3) -2x To find:- Number of units x produces a maximum revenue R

Q: How would you solve for f(x)=x2+6 g(x)=2x+3 (gof)(-2)

A: Given, f(x)=x2+6   g(x)=2x+3  We have to find g∘f-2

Q: f(x) = {k(6x (6x + 2x³) 0 Find the value of k. 0≤x≤B otherwise

A: Solution is  given below

Q: Solve the equation g(x)=−6 for x if g(x)=−0.6x2+x+4.

A:

Q: for what value of x does the function g(x)=1/3x3-2x2 attain the point of inflexion?

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Q: If f(x) =x^2 + 3 and g(x)= 3 -x then what is the the answer to the eqaution in the picture?

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Q: If F(x) = x2 - 3x + C and F(-1) = 4, what is the value of C?

A: Given: Fx=x2-3x+C  and F-1=4

Q: Given f (x) = 2æ? - = 2x2 4.x +9 and g (a) 4x +1: Find (fog) (-1)

A:

Q: Given f(x)= -5x+1, solve for x when f(x)= -4

A: Here we have to solve for x.

Q: If Iƒ g(x) = −3x − 4 and h(x) = −x² + x, find g (h (8)). -

A: Given gx=-3x-4hx=-x2+x

Q: g(f(x)) = 18x² + 36x + 18

A:

Q: 8. For f(x) = -4x + 5, find the solution to f(x) = 41.

A:

Q: f(x) = { kx+3, IF X<2 LyK-3x, IF X72

A:

Q: (x* -3x,ifx 22 Find g(x). g(0). g(-2) x+2, ifx < 2

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Q: Find the number of units x that produces a maximum revenue R in the given equation. R = 24x2/3 – 2x…

A: Given data is: R=24x23-2x To find the number of units x that produces a maximum revenue R.

Q: B) find the Domain and Range f(x) = Vx – 3x²

A:

Q: Given f(x) = 5x – 3, solve for x when f(x) = 7. | %3D

A: We have to find

Q: Find the range of values of x for which y = x3 + 5x2- 8x + 1 is increasing.

A:

Q: How to solve for f(x)=x2+7 and g(x)=2x+5  A.(fog)(2)

A: Given :  f(x)= x^2+7 g(x)=2x+5 f(g(2))=?

Q: Solve for f(2) f(x)=-3x+3 f(2)=?

A:

Q: for g(x)=24x3+24x26x and k(x) = 8x3+1, find an equation of k/g, evaluate  (k/g) (-1) (k/g)(x)=…

A: Given that,  g(x)=24x3+24x2+6x  and k(x) = 8x3+1. By using the definition of f/g, fg(x)=f(x)g(x), if…

Q: If g(x) = x2+4x with x greater than or equal to -2, find g-1(5).

A: g(x) = x2+4x with x greater than or equal to -2Let g^-1(5)=x where x is greater or equal to -2,so we…

Q: Ef(x) = x² + 2x – 6find 7(x+h)-f(x) h = 0

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Q: Find f'(x) and f"(x). f(x) = x² - 4

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Q: f(x) = 4x² + 2, and g(x) = /2x –1, find simplified formulas for ƒ • g and g• f,what is the domain of…

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Q: The value of x which satisfy 3x + 1| < - is : 5.

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Q: G F

A: We are given the following figure.   We know that…

Q: Find the point(s) of intersection. f(x) = 2x2 − 7x − 18 and g(x) = 3x + 10

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Q: lf f(x) = 1-3x and g(x) =x² + 1, find the following. 15. f (-2) = 2 16. g (2) =2 17. g (3) - f2) =…

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Q: 3. If f'(x)= 3x² 2 and f(1) = 4, find f(e).

A: To find f(x) from f'(x) we integrate it C=integrating constant

Q: If f(x) = (3x + 8) / (2x - A) and f(0) = 2, what is the value of A?

A: Given that, fx=3x+82x-A Also it is given that, f(0) = 2 We have to find the value of A.

Q: 5x+1 Given g(x) find and simplify g'(x). 3x-1

A:

Q: If g (x) = 4x² – 13. give the equation for g 1 (x). %3D

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Q: Given f(x) = -x – 1, solve for x when f(x) = 6. %3D

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Q: Solve for f(g(x)) and g(f(x))

A: