Question

for the function f(x) = √11x+12, find the inverse function

Answer 1

Answer:

$y=\frac{x^{2}-12}{11}$.

Step-by-step explanation:

An inverse function is basically where you reflect the graph over the line x=y, , or when you switch the x and y points. Applying this logic, we have

$x=\sqrt{11y+12},$ where 11y+12 is greater than 0, so y is greater than -12/11. Squaring both sides in the first equation, we get $x^{2}=11y+12$ which is equal to $y=\frac{x^{2}-12}{11}$. And that is your answer! Hope it helps!

Edit:

Don't forget that y is greater than $-\frac{12}{11}$!

Answer 2

Answer:

The answer is $f^(-1)(x)= (x^(2) - 12)/(11), x > =0$