Find functions g and h such that f(x) = g(h(x)). f(x) = e4x + 2 A. g(x) = 4x+2, h(x) = ex OB. g(x)= ex, h(x) = 4x+2 QC. g(x)= In x, h(x) = 4x+2 O D. g(x)=e4x, h(x)=x+2

Q: Find f(x) and g(x) such that h(x) = (f o g)(x) and g(x) = 3- 5x. h(x) = (3 – 5x)³ – 2(3 – 5x)² + 5(3…

A:

Q: Let h(x) = f(x)g(x). If f(x) = 4x² – 3x and g(x) = In(3x – 1), what is h' (x)? Select the correct…

A: The given functions are fx=4x2-3x and gx=ln3x-1. Here,  hx=4x2-3xln3x-1.

Q: Given f(x, y) Evaluate f(10, 8) f(10, 8) = 70x +90y - 5x² - 4y² - xy =

A:

Q: The function f(x) is invertible. Find (f-1)' (-8) given that f(x) = -x³ – 4x – 3.

A: f(x) = -x3-4x-3 We will use the formula for the derivative of the inverse function: f-1'x0=1f'(x0)…

Q: 3 • xy²-2y = x ²cos4x (x-2) • FY+ 2(x-2) ³

A: As per our guideline if multiple questions are posted we are supposed to answer only the first one.…

Q: Find  f −1(x). f(x) = x2 + 1,    x ≥ 0

A:

Q: Find h(x) and g(x) such that f(x) = (h o g)(x). f(x) = /2x + 8 %3D Suppose that g(x) = 2x+8. h(x) =D…

A: A Composition function is created when one function is substituted into another function.

Q: Let f(x) = 2x +3, g(x) = x – 4, and h(x)= 4x – 1. Compute (h o go f)(3).

A:

Q: Given g(x) = In(7x+x), the derivative g (x) is

A: Given,           gx=ln7x2+x

Q: 8. Given the function h(x)=Vx² - 4 +Vx+2, find h(2), h(0), and h(-x).

A: h(x) is given. We have to find h(2), h(0) and h(-x)

Q: Find f(x) and g(x) such that h(x) = (f o g)(x). Let g(x) = 7x+9. h(x) = 7x+9 f(x) = %3D

A:

Q: Find f (x). f(x) = 2 In (1 + 7x?) f(x) = %3D

A: f(x)=2ln(1+x2 ) Differentiating w.r.t x both sides, we have f'(x)=2ddx (ln(1+x2))…

Q: Consider the function  f(x) = (x − 4)/( x + 2) .…

A: We have to say about the critical number 2 for the function: fx=x-4x+2 We know that we do calculate…

Q: Let h(x) = f(x)*g(x), and k(x) = f(x)/g(x). g(x) has points (-2,-1), (-1,-2), (1,0), and (3,2). f(x)…

A: see below the answer

Q: Consider the following functions. (x) = 2 + x, f,(x) = x, f;x) = x² g(x) = c,f,(x) + cof2(x) +…

A: A set of vectors {v1,v2,...,vk } is linearly independent if the vector equation x1v1+x2v2+···+xkvk…

Q: Find f(x) and g(x) such that h(x) = (f o g)(x). Let g(x) = 2x+9. 4 h(x) = V2x +9 f(x) =

A:

Q: Let f(x) = 2x – 3 and g(x) = 4x², then f(g(x)) = Select one: Оа. 3 — 8х2 оБ. 8х2 — 3 O c. 8x2 + 3 O…

A:

Q: Let f(x) = g(x) (x - 1)(x - 2)(x – 3)°(x – 4)³, where g(x) = x + bx² + cx + d. If f(x) is…

A: Use the following formulae, to obtain the required result. duv=udv+vdudu+v=du+dvddxxn=nxn-1

Q: At which values in the interval [0, 2m) will the functions f (x) = 2cos20 and g(x) = −1 – 4cos 0 -…

A: Given Equations:- fx=2cos2θ  gx=-1-4cosθ-2cos2θ

Q: If f(x) = 12sin(green wave), then the red wave isni %3D 20 |-31/2 |-T1/2 T/2 3h/2 2n 5T -10

A: Solution A sinusoidal wave can be represented as f(x)=Asin(2πfx+P)..........(1) Where A is amplitude…