Question

Given that f(x) = x2 - 6x + 8 and g(x) = x - 2, find (f.g)(x) and express the result in standard form.

Answer 1

`(f.g)(x)=x^2-10x+24`

Step-by-step explanation:

Given that

`f(x)=x^2-6x+8`

and

`g(x)=x-2`
`(f.g)(x)=(x-2)^2-6(x-2)+8`

Simplifying this, we have:

`\begin{gathered} x^2-4x+4-6x+12+8 \\ =x^2-10x+24 \end{gathered}`