Functions Quiz

1. If $f(x) = 4x - 1$, what is $f(2)$?

• A. 7
• B. 8
• C. 9
• D. 6

2. What is the range of $f(x) = x^2$ for all real $x$?

• A. $f(x) \geq 0$
• B. $f(x) > 0$
• C. All real numbers
• D. $f(x) \leq 0$

3. What is the domain of $f(x) = \dfrac{1}{x+3}$?

• A. All real $x$
• B. $x \neq -3$
• C. $x \neq 3$
• D. $x \geq -3$

4. If $f(x) = x + 2$ and $g(x) = x^2$, what is $fg(3)$?

• A. 11
• B. 25
• C. 9
• D. 5

5. Find the inverse function $f^{-1}(x)$ if $f(x) = \dfrac{x-3}{4}$.

• A. $f^{-1}(x) = 4x + 3$
• B. $f^{-1}(x) = \dfrac{x+3}{4}$
• C. $f^{-1}(x) = 4x - 3$
• D. $f^{-1}(x) = \dfrac{x-3}{4}$