Determine whether the functions $f(x)$ and $g(x)$ are inverse functions.
-$f(x)=6 x+4$
A) $f 1(x)=\frac{x}{6}-4$
B) $f^{-1}(x)=\frac{x+4}{6}$
C) Not a one- to- one function
D) $\mathrm{f}^{-1}(\mathrm{x})=\frac{\mathrm{x}-4}{6}$

Question

Quizplus · Accepted Answer

To find the inverse function, swap $x$ and $y$ in the original function and solve for $y$. Starting with $y = 6x + 4$, swapping gives $x = 6y + 4$, and solving for $y$ gives $y = \frac{x - 4}{6}$, which matches option D.

Determine Whether the Functions f(x)f(x)f(x) And g(x)g(x)g(x) Are Inverse Functions f(x)=6x+4f(x)=6 x+4f(x)=6x+4 A) f1(x)=x6−4f 1(x)=\frac{x}{6}-4f1(x)=6x​−4

Determine Whether the Functions $f(x)$ And $g(x)$ Are Inverse Functions $f(x)=6 x+4$ A) $f 1(x)=\frac{x}{6}-4$