Question

If $f\left(x\right)=x+2,g\left(x\right)=x-4$. Find $\left(fg\right)\left(x\right)$

Answer 1

Find the value of $(fg)\left(x\right)$:

Given$f\left(x\right)=x+2$

$g\left(x\right)=x–4$

Now calculate the value.

$$\begin{gathered} \Rightarrow (fg)\left(x\right)=f\left(x\right)\times g\left(x\right) \\ =(x+2)\times (x-4) \\ =x^2+2x–4x–8 \\ =x^2–2x–8 \end{gathered}$$

Hence, the value of $(fg)\left(x\right)$is $x^2–2x–8.$