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Worksheet 17 (One-To-One Functions)

August 25th, 2009

Determine whether the function is one-to-one

1. $f(x)=x^2-5x$

2. $g(x)=x^3-9$

Assume $f$ is a one-to-one function.

3. If $f(5)=2009$ find $f^{-1}(2009)$

4. If $f^{-1}(7)=9$ , find $f(9)$ .

Compute $f\circ g$ and $g\circ f$ and determine whether $f$ and $g$ are inverses of each other

5. $f(x)=2x-5,\,g(x)=\frac{x+5}{2}$

6. $f(x)=x+3,\, g(x)=\frac{x}{3}$

Find the inverse function of $f$ .

7. $f(x)=2+5x$

8. $f(x)=\frac{x+1}{x-2}$

9. $f(x)=32-4x^3$

10. $f(x)=(2-x^3)^5$

Categories: Algebra, MA109

Tags: Inverse of Function, One-To-One FUnction Leave a comment

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