A function has an inverse function if:
It passes the vertical line test but fails the horizontal line test.
It passes both the vertical line test and the horizontal line test.
It fails both the vertical line test and the horizontal line test.
It fails the vertical line test but passes the horizontal line test.
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.