lf f(x)=3x and g(x)=(1)/(3)x which expression could be used to verify that g(x) is the inverse of f(x) 3x((x)/(3)) ((1)/(3)x)(3x) (1)/(3)(3x) (1)/(3)((1)/(3)x)

To verify that $g(x)$ is the inverse of $f(x)$, we need to show that $f(g(x)) = x$ and $g(f(x)) = x$.<br /><br />Let's start by finding $f(g(x))$:<br />$f(g(x)) = f(\frac{1}{3}x) = 3(\frac{1}{3}x) = x$<br /><br />Now let's find $g(f(x))$:<br />$g(f(x)) = g(3x) = \frac{1}{3}(3x) = x$<br /><br />Since both $f(g(x)) = x$ and $g(f(x)) = x$, we can conclude that $g(x)$ is the inverse of $f(x)$.<br /><br />Therefore, the correct expression to verify that $g(x)$ is the inverse of $f(x)$ is $\frac{1}{3}(3x)$.