3. Functions

Given the functions $h\left(x\right)=2x^3-4$ and $k\left(x\right)=x^2+2$, find and fully simplify $h\cdot k\left(x\right)$

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

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

Find the domain of each function. f(x) = 1/[4/(x - 1) - 2]

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

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

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

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

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

Find fg and determine the domain for each function. f(x) = √x, g(x) = x − 4

Find f/g and determine the domain for each function. f(x) = 2 + 1/x, g(x) = 1/x

Find fg and determine the domain for each function. f(x)= = 8x/(x - 2), g(x) = 6/(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) f(x)=4x-3, g(x) = 5x² - 2