Question #44017

2 Answers
Nov 26, 2016

f(x)=x2+3x1 and g(x)=sinx

Explanation:

Let f(x)=x2+3x1

and g(x)=sinx

Then,

f(g(x))=f(sinx)=sin2x+3sinx1

This is one solution.

Nov 26, 2016

f(x)=x2+3x1
and g(x)=sinx

Explanation:

Given
f(g(x))=sin2x+3sinx1

If we put sinx=g(x) in RHS we get

f(g(x))=(g(x))2+3g(x)1

f(x)=x2+3x1

and g(x)=sinx