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