Question

Let \[g(x)=\sin x\] and \[h(x)=x^2\]. Which expression equals \[(g\circ h)(x)\]?

विकल्प

• \[(\sin x)^2\]

• \[x^2\sin x\]

• \[\sin(x)+x^2\]

• \[\sin(x^2)\]

Answer 1

First, \[h(x)=x^2\] is substituted into \[g(x)=\sin x\]. Therefore, \[(g\circ h)(x)=g(h(x))=\sin(x^2)\].