Question

Given the function f(x)=7x^2-1, evaluate the following expressions.f(x+2)= _______f(x)+f(2)= _______

Answer 1

The given function is:

`f(x)=7x^2-1`

So the value of f(x+2) is given by:

`\begin{gathered} f(x+2)=7(x+2)^2-1 \\ =7(x^2+4x+4)-1 \\ =7x^2+28x+28-1 \\ =7x^2+28x+27 \end{gathered}`

The value of f(x)+f(2) is given by:

`\begin{gathered} f(x)+f(2)=7x^2-1+(7(2)^2-1) \\ =7x^2-1+27 \\ =7x^2+26 \end{gathered}`