Question

If $f:R\to R$ is defined by $f\left(x\right)=3x-2$, then $\left(fof\right)\left(x\right)+2$ is equal to

• A. $f\left(x\right)$
• B. $2f\left(x\right)$
• C. $3f\left(x\right)$
• D. $-f\left(x\right)$

Answer 1

Answer: (C)

$3f\left(x\right)$

Given $f\left(x\right)=3x-2$

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

$=f(3x-2)+2$

$=3(3x-2)-2+2$

$=3(3x-2)=3f\left(x\right)$