Find two functions f and g such that h (x) = (f • g)(x). h (x) = |3 – 2x"| Select a function forf (x) and a function for g (x). f(x) = |3x| o f(x) = |x| o f(x) = |3–2x| o f(x) = 3-2x? o f(x) = - 2x² %3D o g(x) = |x| o g(x) = |3x| o g(x) = |3-2x||. g(x) = - 2x? ° g(x) = 3- 2x2

Q: Let f(x) = 4x + 1 f¹(x)

A: Given query is to find the inverse of the function.

Q: Let f(x) = 7x + 3. Find f(x). f(x) ||

A:

Q: Define f (x) = 4+ x – x² and g(x) = 5x – 3. Define f(x) - - (f o g)(x) = (go f)(x). True False

A:

Q: Evaluate the indicated function for f(x) = x2 + 1 and g(x) (f - 9)(2t) = x - 5. (f – g)(2t) = 41² –…

A: Here, First, evaluate the value of f(2t). Now, evaluate the value of g(2t).

Q: Find f'(x) for the following function: 6 + 4 x + 1 f(x) f- (x) = |

A:

Q: For the function f defined by f(x) = x2 - 4x + 1,

A: Given function: fx=x2-4x+1

Q: Let f(x) = 2x - 9 and g(x) = for which f(x) > g(x). = 5x + 4. Find all values of x

A: given: fx=2x-9g(x)=5x+4 we have to find all values of x for which f(x)>g(x)

Q: Let f(x) = - 4x+ 15 and g(x) =x² +14. Find f(5)- g(5). (5) - g(5) =|

A: Given that: f(x)=-4x+15g(x)=x2+14

Q: If f(x+y) =f(x) +f(y) and f (1) =3, find f(2), f(3), and  f(4). Is f(x+y) =f(x) +f(y) for all…

A:

Q: Find f-1 (x) for f(x) = 7x + 4. O 1-²=-²/x-1/ O f¹(x) = -7x+4 O---- O f-¹(x) = -7 x - 4

A: For finding the inverse of a function replace all x with y and all y with x and then solve for y.

Q: Let f(x) = 3x – 6 and g(x) = x² – 3æ + 7. Then (f o g)(x) = (g o f)(x) =

A:

Q: Let f(x)=2x+1 and g(x)=2x2-1 a. f(t+1) b. f[g(-2)]

A: Givenf(x)=2x+1 and g(x)=2x2-1

Q: The figure is the graph of the derivative, f', of a function f on [-3, 3]. Determine the intervals…

A: All answer is given.

Q: Find g × f when f(x)=1/3x-3 and g(x)=3x+1

A: Given: The functions  and ,  defined as, Aim: To determine the product of two functions, i.e.,…

Q: Let f(x) = 9x +3 f f '(x) =

A: Given a function. We need to find its inverse.

Q: Find the domain of the function f(x) = √x + √(1 − x)

A: