# FNGR 2 | Lesson 5 | Try This! (Writing Inverse Equations) Solutions

1.  $$f(g(x)) = 2x^2-4x+1$$ ; therefore  $$f$$  and  $$g$$  are not inverses.

2.  $$f(g(x)) = g(f(x)) =x$$ ; therefore  $$f$$  and  $$g$$  are inverses.

3.  The function has an inverse.  $$f^{-1}(x)=\dfrac{x+1}{3}$$

4.  The function has an inverse.  $$f^{-1}(x) = \dfrac 4x$$

5.  The function does not have an inverse, it is not 1-1.

6.  The function has an inverse.  $$f^{-1}(x) = \sqrt[3]{x-1}$$