3. Functions

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

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)