Math  /  Algebra

Question Find the inverse function f1(x)f^{-1}(x) for the rational function f(x)=75x5x+2f(x) = \frac{7-5x}{5x+2}.

Studdy Solution
The expression for yy now represents the inverse function f1(x)f^{-1}(x). Therefore, we can write the final answer as:
f1(x)=(2x7)5(x+1)f^{-1}(x) = \frac{-(2x - 7)}{5(x + 1)}
This is the inverse function of f(x)=75x5x+2f(x)=\frac{7-5x}{5x+2}.

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