Asked by Jermaine
Consider the function f(x)=4 - x^2 for the domain [ 0,∞).
Find f^−1 (x), where f^−1 is the inverse of f.
Also state the domain of f^−1 in interval notation.
f^-1 (x) = ___ for the domain ___
Find f^−1 (x), where f^−1 is the inverse of f.
Also state the domain of f^−1 in interval notation.
f^-1 (x) = ___ for the domain ___
Answers
Answered by
Steve
swap variables
x = 4-y^2
y = ±?(4-x)
But you need to pick the branch where 4-x >= 0.
take a look at the graph and I'm sure you can answer the questions.
http://www.wolframalpha.com/input/?i=%E2%88%9A(4-x)
x = 4-y^2
y = ±?(4-x)
But you need to pick the branch where 4-x >= 0.
take a look at the graph and I'm sure you can answer the questions.
http://www.wolframalpha.com/input/?i=%E2%88%9A(4-x)
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