## Related questions with answers

Question

The function f is one-to-one. Find the inverse of each function and check your answer. $f(x)=\frac{2-x}{3+x}$

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 6The first step in finding the inverse of a function is to replace $f(x)$ by $y$

$f(x)=\dfrac{2-x}{3+x} \Rightarrow y=\dfrac{2-x}{3+x}$

Then, interchange the variables to obtain $x=f(y)$.

$x=\dfrac{2-y}{3+y}$

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