The inverse function of the given function is [tex]\mathbf{= \dfrac{28+7x}{x-1}}[/tex]
What is the inverse of a function?
A function g is the inverse of a function f, if and only if the values of y= f(x), x = g(y).
From the formula given:
[tex]\mathbf{y=f(x) = \dfrac{x+28}{x-7}}[/tex]
Let's substitute x with y;
[tex]\mathbf{y= \dfrac{x+28}{x-7}}[/tex]
[tex]\mathbf{x=\dfrac{y+28}{y-7}}[/tex]
Solve for y;
[tex]\mathbf{= \dfrac{28+7x}{x-1}}[/tex]
Learn more about solving inverse functions here:
https://brainly.com/question/3831584
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