College Algebra - Week 4

Quiz

Answer every question, then submit for automatic grading. 80% or above passes.

Question 1 · easy

Let f(x) = 5x - 7. Find f(4).

Question 2 · easy

Find the domain of f(x) = 1/(x - 5). Write in interval notation.

Question 3 · medium

Find the domain of f(x) = sqrt(2x + 8). Write in interval notation.

Question 4 · medium

Let f(x) = 2x - 3 and g(x) = x^2. Find f(g(x)).

Question 5 · easy

Let f(x) = x + 4. Find the inverse f^(-1)(x).

Question 6 · medium

Let f(x) = x^2 + 1. Find f(-3) - f(1).

Question 7 · medium

Find the difference quotient (f(x+h) - f(x))/h for f(x) = 3x - 2.

Question 8 · easy

Is f(x) = x^2 - 9 one-to-one? (Yes or No)

Question 9 · medium

Find the range of f(x) = |x| + 2. Write in interval notation.

Question 10 · challenge

Let f(x) = 4x + 3. Find f^(-1)(x) and verify that f^(-1)(f(2)) = 2.