Determine the difference quotient, calc, URGENT

Question

Given the following function, determine the difference quotient, f(x+h)−f(x)/h.

f(x)=3x+7

Answer 1

First find f(x+ h)

Plug in (x+h) into f(x)

You get f(x+h) = 3(x+h) + 7 = 3x + 3h + 7

Next, plug into the difference quotient:

[ f(x+h) - f(x) ] / h = [ (3x + 3h + 7) - (3x + 7) ] / h = 3h / h = 3.

So our difference quotient in this case is 3