Question 10 of 10If a function uses variables other than x and y for its input and output variables, you take the original equation and solve for the output variable to find the inverse.
Question
Question 10 of 10If a function uses variables other than x and y for its input and output variables, you take the original equation and solve for the output variable to find the inverse.
Solution
Yes, that's correct. To find the inverse of a function, regardless of the variables used, you would swap the input and output variables and then solve for the new output variable. This process essentially reverses the operation of the original function. Here are the steps:
- Write down the function equation.
- Swap the places of the input and output variables.
- Solve the resulting equation for the new output variable. This will give you the inverse function.
For example, if you have a function f(a) = b, to find the inverse you would:
- Write down the function: f(a) = b
- Swap a and b: a = f(b)
- Solve for b: b = f^-1(a)
This gives you the inverse function.
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