# If f : R → R, g : R → are given by f(x)

Question:

If $f: R \rightarrow R, g: R \rightarrow$ are given by $f(x)=(x+1)^{2}$ and $g(x)=x^{2}+1$, then write the value of fog $(-3)$.

Solution:

$(f o g)(-3)=f(g(-3))$

$=f\left((-3)^{2}+1\right)$

$=f(10)$

$=(10+1)^{2}$

$=121$