Question

For the function F(x) = 8x² - 8x - 5, evaluate F(x) + F(1).

Answer 1

`f(x)+f(1)=8x^2-8x-10`

Explanation:

Given function:

`f(x)=8x^2-8x-5`

To find f(1), substitute x = 1 into the function:

`\begin{aligned}\implies f(1)&=8(1)^2-8(1)-5\\&=8(1)-8-5\\&=8-8-5\\&=0-5\\&=-5\end{aligned}`

Therefore:

`\begin{aligned}\implies f(x)+f(1)&=(8x^2-8x-5)+(-5)\\&=8x^2-8x-5-5\\&=8x^2-8x-10\end{aligned}`