Solve and check: (x-1)/5 - (x+3)/2 = 1- x/4

Express the given function h as a composition of two functions ƒ and g so that h(x) = (fog) (x).

h(x) = (3x − 1)⁴

Use the graphs of f and g to solve Exercises 83–90.

Find (g-f) (-2).

Use the graphs of f and g to solve Exercises 83–90.

Graph f+g.

Use the graphs of f and g to solve Exercises 83–90.

Graph f-g.

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\(\right\))=\(\frac{1}{x}\)$