Quiz

Question 1 · medium

Let f(x) = x^2 - 4. Find (f(x+h)-f(x))/h and simplify.

Question 2 · medium

Solve using quadratic formula: 2x^2 + 3x - 5 = 0

Question 3 · medium

Complete the square: x^2 + 10x + 21. Write in vertex form.

Question 4 · medium

Factor completely: 4x^3 - 16x

Question 5 · challenge

Where is (x-1)/(x+2) <= 0? Write in interval notation.

Question 6 · challenge

Simplify: (1/(x+h) - 1/x)/h

Question 7 · challenge

Simplify (sqrt(x+h) - sqrt(x))/h by rationalizing. Hint: multiply by conjugate.

Question 8 · medium

Solve: 4^x = 8

Question 9 · medium

Find the domain of (f composed with g)(x) where f(x)=1/sqrt(x) and g(x)=x-4.

Question 10 · medium

Given f(x) = x+2 and g(x) = x^2-1, find f(g(x)) and state its domain.