Question 14 4. If f (x)= ,then f '(x) equals (1+3x)5 60 A (1+3x) 25 60 (1+3x) 10 - 60 (1+3x) 10 - 60 (1+3x) 25 None

Q: Question 5 Given that 10x6 + 3x* – x? f(x) = %3D x2 a) Simplify f(x)

A:

Q: If F(y) = y(y - 3)²; find F(x + 3). x^2 (x+2) Ox (x+3) Ox^2 (x+3) Ox(x+2)

A:

Q: 9. for f(x)=3x-5 and g(x)=3x^2-3, find the following functions  a.(f o g)(x)  b. (g o f)(x) c.(f o…

A: Consider the function, To calculate the (f o g) (x),   Substitute the value of g(x) in function…

Q: 13. (a) Find the inverse of the functio x) = 2x – 5 (b) Find f- (3)

A:

Q: If f(x) = 5 + 5T. Find f-'(- 5) =

A: The function fx=5+5x3 To find f-1-5

Q: Determine end behavior

A:

Q: Complete the table of values for the function f(x)=−1/4x^2   x f(x)=−1/4x^2 −4   −2   0   2   4

A: f(x)=−1/4x^2

Q: Find g(1) if g(x)=x^2+1

A:

Q: 2) If f(x) = , then f() : 2x + 3 6x – 5 SHOW ALL YOUR WORK =

A:

Q: If f(x) = (x + 1)( x + 2), find f'(0)

A:

Q: 10) Find (ƒ^¯') (-5) if ƒ(x)= x³ +3x−1.

A:

Q: 2x +3 and g(x) =4, find f(g(2)). x-1 5. Given f(x)

A: f(g(x))=fx-1xf(g(x))=2x-1x+3

Q: Let f(x) = 2x – 1, g(x) = 3x, and h(x) = x^2 + 1. Compute the following: A. f(g(-3)) B. f(h(7))…

A: I have given the answer in the next step. Hope you understand that

Q: Choose all functions that are members of the same family. Oy=-x(x − 3)(x + 5) Oy=x³ + 2x² - 15x…

A: By simplifying each function, we can identify the members of same family.

Q: Evaluate ∫4x+5/(3x+2)(x+3)dx

A: Given Integral: ∫4x+53x+2x+3dx   To find: Evaluate the given function. Formula used: i) Partial…

Q: If f(x)=x^2 −1,g(x)=2x−3, find the following new functions, as well as any values indicated A)…

A:

Q: For this function Y=x^3 + 15x^2 -225x prove that we have a point of inflection at x=-5

A:

Q: 5. Differentiate each of the following functions: a) (x+1)³(x-2)4 b) In x+1

A:

Q: let f(g(x)) = 8(9 + 3/x^4+2)^7. Find the following functions.  if f(x) = 8x^7 then what is g(x)?…

A:

Q: If 82+5f(x)+x^2(f(x))^3=0 and f(3)=-2, find f’(3)

A:

Q: Please answer and explain

A:

Q: If h(x) = (f.g)(x) and f(2) = 5, f'(2) = 3, g(2) = 1, g'(2) = -1 Then h' (2) = -20 - 7 – 2 - 6

A: Given  h(x) =(f.g)(x) And f(2)=5,f'(2)=3 g(2)=1,g'(2)=-1

Q: 7. Consider the functions f(x) = 2x² - 7x + 4 and g(x) = -7x + 5. a) Find f(-1). b) When does g(x) =…

A: Function is f(x)= 2x2-7x + 4 .............(i) We've to find the Value of f(-1) Put the Value of x=…

Q: Evaluate the following: 1. f(-2)= 2. f(-1)= 3. f(5)= f(x) = 2 x² + 2x x + 3 if x -1.

A:

Q: Suppose we have two functions f and g defined by f(x) = 2x + 3 and g(x) = x^2 - 3x + 2. Find…

A:

Q: letf" (x)=4x+3 and f(1)= 5 then find f(x)

A: Use anti-derivative

Q: let f(x)=2x^2+1 and g(x)=3x-5. find the following? a. (f*g)(2)=f(g(2))

A: Given function is f(x)=2x^2+1 and g(x)=3x-5.