Define three functions

MATHEMATICS · Subjective · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

f(x)=\ln\left(x^{2}+1\right)

g(x)=\sin x

and

h(x)=e^{x}

. (i) Obtain a simplified expression for

(h\circ g\circ f)(x)

. (ii) Determine the domain of

(h\circ g\circ f)

. (iii) Evaluate

(h\circ g\circ f)(1)