Question

Determine (f(3+h)-f(3))/h if f(x)=4x-5
a. 3h
b. 4h
c. 3
d. 4

Answer 1

To determine (f(3+h)-f(3))/h, substitute the given function f(x) = 4x-5 into the expression. Evaluating f(3+h) and f(3), we find that the answer is 4.

Step-by-step explanation:

To determine (f(3+h)-f(3))/h, we first need to substitute the given function f(x) = 4x-5 into the expression. Let's start by evaluating f(3+h) and f(3).

Substituting x = 3+h into f(x) = 4x-5, we have f(3+h) = 4(3+h)-5 = 12+4h-5 = 7+4h.

Next, substituting x = 3 into f(x) = 4x-5, we have f(3) = 4(3)-5 = 12-5 = 7.

Now, we can substitute these values into the expression: (7+4h-7)/h = 4h/h = 4. Therefore, the answer is d. 4.