Given f (x) = x² + 4x + 5, what is

8+h

Step-by-step explanation:

Simply substitute x = 2+h and x = 2 in.

Therefore, the answer is h+8 or 8+h.

Another way is to differentiate the function with respect to x. This equation or expression is rate of changes from 2 to 2+h with h being any numbers.

The definition of derivative is:

Notice how both f(2+h)-f(2) over h and the definition of derivative look same except the derivative has limit of h approaching to 0, making h not having any values by default.

Since f(2+h)-f(2) over h does not have limit, we have to add +h when differentiating the function.

Since f’(2) is 8 but because f(2+h)-f(2)/h does not have limit of h, therefore we add +h.

-13

step-by-step explanation:

f(x)=2x-5 for f(-4)

f(-4)   means let x=-4

f(-4) = 2(-4) -5

f(-4) =-8-5

      = -13

3; 9 is 8 to -4

step-by-step explanation: