2.7 Composite and inverse functions Quiz

1. $f(x)=x+1$ and $g(x)=3x$. Find $(f\circ g)(2)$.

• A. $7$
• B. $9$
• C. $6$
• D. $5$

2. Find the inverse of $f(x)=5x-2$.

• A. $5x+2$
• B. $\frac{x}{5}-2$
• C. $\frac{1}{5x-2}$
• D. $\frac{x+2}{5}$

3. What is $\left(f\circ f^{-1}\right)(x)$?

• A. $f(x)$
• B. $1$
• C. $x$
• D. $f^{-1}(x)$

4. Which domain gives $f(x)=(x-3)^2-2$ an inverse function?

• A. $x\geq0$
• B. $x\geq3$
• C. $x\geq-2$
• D. $x\leq4$

5. $f(x)=x^2+1$ for $x\geq0$. Find $f^{-1}(x)$.

• A. $\sqrt{x}-1$
• B. $x^2-1$
• C. $\sqrt{x}+1$
• D. $\sqrt{x-1}$