Composition of Functions · Exercise 26

Use each set of functions to find $f\left(g\left(h\left(x\right)\right)\right).$ Simplify your answers.

Given $f\left(x\right)=\sqrt{2-4x}$ and $g\left(x\right)=-\frac{3}{x},$ find the following:

ⓐ $\left(g\circ f\right)\left(x\right)$
ⓑ the domain of $\left(g\circ f\right)\left(x\right)$ in interval notation

OpenStax, Algebra and Trigonometry 2e · §3.4 Composition of Functions · Exercise 26