Question

Find the inverse of the function m(x)=4x+35x
(1 point)
m−1(x) =

Answer 1

To find the inverse of the function \( m(x) = 4x + 35x \), we first simplify the function:

\[
m(x) = (4 + 35)x = 39x
\]

Now, we will find the inverse function \( m^{-1}(x) \).

1. Start by replacing \( m(x) \) with \( y \):
\[
y = 39x
\]

2. Next, solve for \( x \) in terms of \( y \):
\[
x = \frac{y}{39}
\]

3. Now, replace \( y \) with \( x \) to express the inverse:
\[
m^{-1}(x) = \frac{x}{39}
\]

Thus, the inverse function is:

\[
\boxed{\frac{x}{39}}
\]