- #1
bunmohg
Homework Statement
f(x) = (2x-3)/(x-1)
Solve the equation |f^-1(x)|= 1+f^-1(x)
Homework Equations
I'm pretty sure f^1(x) = (-3+x)/(x-2)
The Attempt at a Solution
I am not sure what solve means. Do i need to plug in values?
No, that wouldn't be very productive unless you just happened to pick a value that works.bunmohg said:Homework Statement
f(x) = (2x-3)/(x-1)
Solve the equation |f^-1(x)|= 1+f^-1(x)
Homework Equations
I'm pretty sure f^1(x) = (-3+x)/(x-2)
The Attempt at a Solution
I am not sure what solve means. Do i need to plug in values?
bunmohg said:Homework Statement
f(x) = (2x-3)/(x-1)
Solve the equation |f^-1(x)|= 1+f^-1(x)
Homework Equations
I'm pretty sure f^1(x) = (-3+x)/(x-2)
The Attempt at a Solution
I am not sure what solve means. Do i need to plug in values?
The equation is asking to solve for the inverse of the function f(x) when its absolute value is equal to 1 plus its inverse.
Yes, this equation can be solved algebraically by using inverse function properties and basic algebraic manipulations.
Yes, the domain of f(x) should include all real numbers except for 0, as the inverse of 0 does not exist.
Yes, there can be multiple solutions to this equation depending on the specific function f(x) being used.
You can check your solution by substituting it back into the original equation and ensuring that the equation is true.