Question

Given: g(x) = root x - 4 and h(x) = 2x - 8, what is g(h(10))?

Answer 1

`\bf \begin{cases} g(x)=√(x-4)\\ h(x)=2x-8\\ ---------\\ h(10)=2(10)-8\\ \qquad \qquad 12 \end{cases} \\\\\\ g(~~h(10)~~)\implies g(12)=√((12)-4) \\\\\\ g(12)=√(8)\implies g(12)=√(2^2\cdot 2)\implies g(12)=2√(2)`

Answer 2

h(10) = 2(10) - 8
h(10) = 12
g(12) = root 12 - 4
g(12) = root 8
g(h(10)) = 2 root 2