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Calculadora de función inversa
La calculadora encontrará la inversa de la función dada, con los pasos que se muestran. Si la función es uno a uno, habrá un inverso único.
Your input: find the inverse of the function $$$y=\frac{x + 7}{3 x + 5}$$$
To find the inverse function, swap $$$x$$$ and $$$y$$$, and solve the resulting equation for $$$x$$$.
If the initial function is not one-to-one, then there will be more than one inverse.
So, swap the variables: $$$y=\frac{x + 7}{3 x + 5}$$$ becomes $$$x=\frac{y + 7}{3 y + 5}$$$.
Now, solve the equation $$$x=\frac{y + 7}{3 y + 5}$$$ for $$$y$$$.
$$$y=\frac{7 - 5 x}{3 x - 1}$$$
Answer
$$$y=\frac{7 - 5 x}{3 x - 1}$$$