3. Functions

Find a. (f ○ g)(x); b. the domain of (f ○ g). f(x) = (x + 1)/(x - 2), g(x) = 1/x

Find the domain of each function. f(x) = 1/(x²+1) - 1/(x²-1)

Find the domain of each function. h(x) = 4/(3/x - 1)

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

f(x) = 2x-3, g(x) = (x+3)/2

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

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

Find a. (fog) (x) b. the domain of f o g.

f(x) = √x, g(x) = x − 2

Find a. (fog) (x) b. the domain of f o g.

f(x) = x² + 4, g(x) = √(1 − x)

Use the graphs of f and g to evaluate each composite function.

(go f) (0)

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

Find the domain of each function. g(x) = 2/(x+5)

Find the domain of each function. f(x) = √(24 - 2x)

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

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

Find

a. (fog) (x)

b. (go f) (x)

c. (fog) (2)

d. (go f) (2).

f(x) = 2x, g(x) = x+7

Find

a. (fog) (x)

b. (go f) (x)

c. (fog) (2)

d. (go f) (2).

f(x) = x+4, g(x) = 2x + 1