The graphs of two functions ƒ and g are shown in the figures.
Find (ƒ∘g)(2).

Find $f+g$, $f-g$, $fg$, and $\frac{f}{g}$. Determine the domain for each function.

$f\left(x\right)=6x^2-x-1$, $g\left(x\right)=x-1$

Find $f+g$, $f-g$, $fg$, and $\frac{f}{g}$. Determine the domain for each function.

$f\left(x\right)=5-x^2$, $g\left(x\right)=x^2+4x-12$

Find $f+g$, $f-g$, $fg$, and $\frac{f}{g}$. Determine the domain for each function.

$f\left(x\right)=\sqrt{x}$, $g\left(x\right)=x-5$

Find $f+g$, $f-g$, $fg$, and $\frac{f}{g}$. Determine the domain for each function.

$f\left(x\right)=6-\frac{1}{x}$, $g\left(x\right)=\frac{1}{x}$