Question

f(x) = x2 - 81. Find f-1(x)

Answer 1

\[y=f(x) = x^2-81\]
To find \(f^{-1}(x)\), swap the variables and solve for \(y\):

\[x = y^2-81\]solve for \(y\)

Answer 2

We are having function as \[f(x)=x^2-81\]
To find inverse of given function first replace f(x) by y

Answer 3

Note that \(f^{-1}(x)\) is not a function, because it has multiple values for some values of \(x\).

Answer 4

Also note that \(f(x)\) and \(f^{-1}(x)\) are always copies of each other reflected across the line \(y = x\)

Answer 5

\[f(x)=x^2-81\]
After replacing f(x) by y then we get \[y =x^2-81\]
Now interchange roles of x and y

Answer 6

Hello are you getting this ??

Answer 7

After interchanging roles of x and y we get \[x=y^2-81\]
Now try to solve this for y