Question

Find and simplify the different quotient f(x+h)-f(h) /h for the given function f(x)=9x+1

Answer 1

`f(x)=9x+1\\\\(f(x+h)-f(h))/(h)\\\\f(x+h)=9(x+h)+1=9x+9h+1\\f(h)=9h+1\\\\(f(x+h)-f(h))/(h)=(9x+9h+1-(9h+1))/(h)=(9x+9h+1-9h-1)/(h)=(9x)/(h)\\\\Answer:\ \boxed{(f(x+h)-f(h))/(h)=(9x)/(h)}`