Question Find the inverse function of $f(x) = -2x + 4$. Graph the inverse function, $f(x)$, and the line $y = x$.

Studdy Solution
After plotting all three lines on the same coordinate system, we should observe that the line $y = x$ acts as a mirror, reflecting the original function and its inverse across it.
The inverse function of $f(x) = -2x + 4$ is $f^{-1}(x) = -\frac{1}{2}x + 2$, and the graphs of $f(x)$, $f^{-1}(x)$, and $y = x$ will show the symmetry between $f(x)$ and $f^{-1}(x)$ across the line $y = x$.