Question

The function f is defined by f(x) = 2x² -1.Find f (2n)f(2n) =

Answer 1

Given the following function:

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

to find f(2n), we have to make x = 2n, and then simplify the resulting expression when we evaluate 2n inside the function:

`\begin{gathered} x=2n \\ \Rightarrow f(2n)=2(2n)^2-1=2(4n^2)-1=8n^2-1 \\ f(2n)=8n^2-1 \end{gathered}`

therefore, f(2n) = 8n^2 - 1