Question

1) Given f(x) = 3(2x - 8)² + 5, find f(2) =

Answer 1

f(2) = 53

Explanation:

Given function:

`f(x)=3(2x-8)^2+5`

To find f(2), substitute x = 2 into the given function and solve using algebraic operations:

`\begin{aligned}\implies f(2)&=3(2(2)-8)^2+5\\&=3(4-8)^2+5\\&=3(-4)^2+5\\&=3(16)+5\\&=48+5\\&=53\end{aligned}`

Therefore, f(2) = 53.