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