Precalc, functions (Please help)

Question

Given the function , find and simplify the following values:

f(a)=

f(a+h)=

f

 

Answer 1

f(x)=7x-5

f(a)=7a-5

f(a+h)=7(a+h)-5=7a+7h-5

f(a+h)-f(a)/h=(7a+7h-5)-(7a-5)/h=(7a+7h-5-7a+5)/h=7h/h=7

I hope that helps! :)