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, 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:

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