3. Functions

Find the domain of each function. h(x) = √(x −2)+ √(x +3)

Find ƒ+g and determine the domain for each function. f(x)= = 8x/(x - 2), g(x) = 6/(x+3)

Find a. (fog) (x) b. (go f) (x) c. (fog) (2) d. (go f) (2).

f(x) = 1/x, g(x)= 1/x

Find f−g and determine the domain for each function. f(x) = x -5, g(x) = 3x²

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

Find a. (fog) (x) b. (go f) (x) f(x)=4x-3, g(x) = 5x² - 2

Find fg and determine the domain for each function. f(x)= = 8x/(x - 2), g(x) = 6/(x+3)

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

Find ƒ+g, ƒ- g, ƒg and ƒ/g. Determine the domain for each function. f(x) = 3 − x², g(x) = x² + 2x − 15

Given the functions $L\(\left\)(x\(\right\))=x-2$ and $M\(\left\)(x\(\right\))=x^2$, calculate $\(\frac{L}{M}\]\left\)(5\(\right\))$

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

Graph f-g.

Find ƒ+g, f−g, fg, and f/g. Determine the domain for each function. f(x)= = (3x+1)/(x² - 25), g(x) = (2x -4)/(x² - 25)

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 the domain of each function. f(x) = x² - 2x - 15

Find fg and determine the domain for each function. f(x) = x -5, g(x) = 3x²