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

Question

(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, let \( y = m(x) \). Therefore, we have:

\[ y = 39x \]

To find the inverse, we need to solve for \( x \) in terms of \( y \):

1. Rearrange the equation to isolate \( x \):

\[ x = \frac{y}{39} \]

2. Now we replace \( y \) with \( x \) to write the inverse function:

\[ m^{-1}(x) = \frac{x}{39} \]

Thus, the inverse of the function \( m(x) \) is:

\[ m^{-1}(x) = \frac{x}{39} \]