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Stage 4 - Stage 5
Inverse functions
Interactive practice questions
A function has an inverse function if:
It passes the vertical line test but fails the horizontal line test.
A
It passes both the vertical line test and the horizontal line test.
B
It fails both the vertical line test and the horizontal line test.
C
It fails the vertical line test but passes the horizontal line test.
D
Easy
Less than a minute
We want to determine whether $f\left(x\right)=-\frac{7}{2}x$f(x)=−72x and $g\left(x\right)=-\frac{2}{7}x$g(x)=−27x are inverse functions.
We want to determine whether $f\left(x\right)=3x+12$f(x)=3x+12 and $g\left(x\right)=\frac{1}{3}x-4$g(x)=13x−4 are inverse functions.
We want to determine whether $f\left(x\right)=3x-6$f(x)=3x−6 and $g\left(x\right)=\frac{1}{3}x-2$g(x)=13x−2 are inverses.
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