Question

The composite mapping $fog$ of the map $f:R\to R,f\left(x\right)=\sin x$ and $g:R\to R,g\left(x\right)=x^2$ is

• A. $x^2\sin x$
• B. $(\sin x{)}^2$
• C. $\sin x^2$
• D. $\frac{\sin x}{x^2}$

Answer 1

The correct option is C $\sin x^2$

Composite mapping will be $f\left(g\right(x\left)\right)$

$=f\left(x^2\right)$

$=\sin \left(x^2\right)$

Hence option ${}^{\prime }{C}^{\prime }$ is the answer.