Answer: [tex]f^{-1} (x) = \frac{x}{3} - \frac{5}{3}[/tex]
Step-by-step explanation:
Swap x and y variables
In the inverse function, you swap the x and y values.
So in the function y = 3x + 5, switch the places of the x and y variables to get
x = 3y + 5
Rearrange equation
Now rearrange this equation so that y is by itself
x = 3y + 5
3y = x - 5
y = [tex]\frac{x}{3} - \frac{5}{3}[/tex]
Final equation
The inverse function would be [tex]f^{-1} (x) = \frac{x}{3} - \frac{5}{3}[/tex]
