College Math Prep, Quiz 2 Review

Given f\left(x\right)=3x^2-5x+1 and g\left(x\right)=-7x^2+4x-3, find \left(f-g\right)\left(x\right)

Given h\left(x\right)=x and k\left(x\right)=5x-x^2, find \left(h\cdot k\right)\left(x\right).

Given the function {(0,15), (2,12), (4,9), (6,6), (8,3)}, find the domain and range of its inverse.

Let f\left(x\right)=x^2-4x+5and g\left(x\right)=x-1. Find f\left(g\left(x\right)\right).

Given f\left(x\right)=\frac{7+x}{x-6}, find the equation for its inverse.

Are the functions f\left(x\right)=\sqrt[3]{x+7} and g\left(x\right)=x^3-7 inverses?

Find the difference quotient for the function f\left(x\right)=7x-3