Given functions f and g, find (a)(ƒ∘g)(x) and its domain, and (b)(g∘ƒ)(x) and its domain. ƒ(x)=√(x-2), g(x)=2x

Given functions f and g, find (a)(ƒ∘g)(x) and its domain. See Examples 6 and 7.

$\text{ƒ}\left(x\right)=\surd x,g\left(x\right)=\frac{1}{(x+5)}$

Given functions f and g, find (a)(ƒ∘g)(x) and its domain, and (b)(g∘ƒ)(x) and its domain. See Examples 6 and 7.

$\text{ƒ}\left(x\right)=\surd (x+4),g\left(x\right)=-\left(\frac{2}{x}\right)$

Given functions f and g, find (a)(ƒ∘g)(x) and its domain, and (b)(g∘ƒ)(x) and its domain. See Examples 6 and 7.

$\text{ƒ}\left(x\right)=\frac{4}{x},g\left(x\right)=x+4$

Given functions f and g, find (a)(ƒ∘g)(x) and its domain. See Examples 6 and 7.

$\text{ƒ}\left(x\right)=\frac{2}{x},g\left(x\right)=x+1$

The graphs of two functions ƒ and g are shown in the figures.

Find (g∘ƒ)(3).

Given the functions $f\(\left\)(x\(\right\))=\(\sqrt{x+4}\)$ and $g\(\left\)(x\(\right\))=\(\left\)(x-2\(\right\))^2-4$ find $\(\left\)(f\(\circ\) g\(\right\))\(\left\)(x\(\right\))$ and $\(\left\)(g\(\circ\) f\(\right\))\(\left\)(x\(\right\))$

Given the functions $f(x)=\(\frac{1}{x^2-2}\)$ and $g(x)=\(\sqrt{x+2}\)$ find $(f∘g)(x)$ and $(g\(\circ\) f)(x)$.

Given the functions $f(x)=x+3$ and $g(x)= x^2$ find $(f∘g)(2)$ and $(g∘f)(2)$.