4. Let f(x)=3x- f(5+h)- f(5) (a) Simplify (*) as much as possible. What does (*) approach as h gets closer to 0? h (b) Simplify f(x+h)- f(x) (**) as much as possible. What does (**) approach as h gets closer to 0? h Note: answer is in terms of x (no h in the answer).

Q: Given f(x) = 23 10x, evaluate the following. (a) (f of-)(42) = (b) (f o f)(40) = %3D

A: First we will calculate the inverse of f. Then see that the composition of f and f inverse works…

Q: What is the domain and range of h(x) = x² + A ?

A: Given: h(x)=x2+A

Q: compute and simplify the difference quotient f(x+h)-f(x)/h h cannot equal 0 for f(x)= 5x-14

A:

Q: Let f(x) = x2 + 2 and g(x) = 2x - 3. Evaluate (fo g)(x). (fo g)(x) =| (Simplify your answer.)

A: (fog)(x)= f(g(x)) f(x) = x^2 + 2  g(x) = 2x - 3

Q: Given f(x) = -5 - 2x What is f(6)

A: We have given f(x) =-5-2x. We have to find the value of f(6).  For this we can replace x by 6 in…

Q: Let f(æ) = 4x + 4 and g(x) = 5æ? + 2æ. After simplifying, (f + g)(x) =

A:

Q: If f(14)=27, find f-1(27)

A: If f(x) = y is any function and f is one-one then, => f-1(y)=x

Q: function f(x) = 4x +4>

A:

Q: Let f(x) = 4x – 1 and g(x) = x + 4. Find (fo g)(6). Then (fo g)(6) = | - (Simplify your answer.)

A: