SOLUTION: Find a formula for the inverse of the function.
f(x) = 6 − x2(x raised to the power of 2), x ≥ 0
f −1(x) =
f(x) = 6 − x2, x ≥ 0
f −1(x) =
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Question 1196463: Find a formula for the inverse of the function.
f(x) = 6 − x2(x raised to the power of 2), x ≥ 0
f −1(x) =
f(x) = 6 − x2, x ≥ 0
f −1(x) =
Found 2 solutions by josgarithmetic, math_tutor2020:
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
BAD NOTATION
Answer by math_tutor2020(3817) (Show Source): You can put this solution on YOUR website!
The standard template or outline to finding the inverse is this:
1) Replace f(x) with y
2) Swap x and y
3) Solve for y to find )
So the steps look like this:
Apply step 1
Apply step 2
The domain of f(x) is
The domain and range swap when going from the original function to the inverse (since the x and y swap roles)
This means the range of the inverse is and it further means we'll focus on the positive version of the square root only. We won't have "plus/minus".
Answer: The inverse is  = \sqrt{6-\text{x}})
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