Question

If $f\left(x\right)=3x-1$ and $g\left(x\right)=4x+2$, what if the value of $g\left(f\right(0)+2)$?

Answer 1

$f\left(x\right)=3x-1$ [ Given ]

$\Rightarrow$ $f\left(0\right)=3\left(0\right)-1$

$\therefore$ $f\left(0\right)=-1$

Now,

$f\left(0\right)+2=-1+2$

$\therefore$ $f\left(0\right)+2=1$ ---- ( 1 )

$g\left(x\right)=4x+2$

$\Rightarrow$ $g\left(f\right(0)+2)=g\left(1\right)$ ..... [ From ( 1 ) ]

$\Rightarrow$ $g\left(f\right(0)+2)=4\left(1\right)+2$

$\Rightarrow$ $g\left(f\right(0)+2)=4+2$

$\therefore$ $g\left(f\right(0)+2)=6$