Question

I need help finding f(a), f(a+h) & f(a+h) - f(a) divided by h

Answer 1

Given:

The function

`f(x)=4-7x+16x^2`

Required:

Calculate the given functions.

Step-by-step explanation:

The calculation is as:

`\begin{gathered} f(a)=4-7a+16a^2 \\ f(a+h)=4-7(a+h)+16(a+h)^2 \\ =4-7a-7h+16(a^2+h^2+2ah) \\ =4-7a-7h+16a^2+16h^2+32ah \\ Now, \\ (f(a+h)-f(a))/(h)=(4-7a-7h+16a^2+16h^2+32ah-4+7a-16a^2)/(h) \\ =(-7h+16h^2+32ah)/(h) \\ =-7+16h+32a \end{gathered}`

Answer:

answered the question.