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


Writing Inverse Equations

Part 1:  Use composition to determine if \(f\) and \(g\) are inverse functions.

1.  \(f(x)=2x^2-1\)  and  \(g(x)=x-1\) , find \(f(g(x))\) .

2.  \(f(x)=2x-1\)  and  \(g(x)=\dfrac{x+1}{2}\) , find \(f(g(x))\) and \(g(f(x))\) .

Part 2:  Determine which of the following functions have an inverse (pass the horizontal line test).  If the function has an inverse, write its equation.

3.  \(f(x) = 3x-1\)

4.  \(f(x) = \dfrac 4x\)

5.  \(f(x) = 3x^2+2\)

6.  \(f(x) = x^3+1\)

Check your solutions here.


Go to Practice (Writing Inverse Equations)