Functions Quiz

1. If $f(x) = 2x + 3$, find $f(5)$

• A. $10$
• B. $13$
• C. $8$
• D. $11$

2. What does the range of a function refer to?

• A. The set of possible input values
• B. The set of possible output values
• C. The difference between the largest and smallest input
• D. The domain multiplied by 2

3. Find the inverse of $f(x) = 4x - 1$

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

4. If $f(x)=x+2$ and $g(x)=3x$, find $fg(x)$

• A. $3x+2$
• B. $3(x+2)$
• C. $3x+6$
• D. $x+6$

5. If $f(x)=x^2$ and $g(x)=x-1$, for which value of $x$ does $gf(x) = 3$?

• A. $x=2$
• B. $x=\pm 2$
• C. $x=4$
• D. $x=\pm\sqrt{3}$