need answer to this asap

Question

Given the function f(x)=1+7x^2 calculate the following values:

f(a)=   

f(a+h)=   

f(a+h)−f(a)/h=

Answer 1

Here you go! I hope this helps! Let me know if you have more questions

Answer 2

Given f(x) = 1 + 7x²,

f(a) = 1 + 7a²

f(a+h) = 1 + 7(a+h)² = 1 + 7(a² + 2ah + h²) = 1 + 7a² + 14ah + 7h²

( f(a+h) - f(a) ) / h = ( ( 1 + 7a² + 14ah + 7h² ) - ( 1 + 7a² ) )/ h = (14ah + 7h² ) / h = 14a + 7h