Asked by pat
a. find the inverse of the function below on the given interval and write it in the form y=f^-1 (x).
b. Verify the relationships f(f^-1 (x)) = x and f^-1 (f(x))=x
f(x)=x^2 -4 for x less than or equal to 0.
a. f^-1 (x)=?
b. Verify the relationships f(f^-1 (x)) = x and f^-1 (f(x))=x
f(x)=x^2 -4 for x less than or equal to 0.
a. f^-1 (x)=?
Answers
Answered by
oobleck
wrong. Consider, remembering that we want x <= 0:
f(-3) = 5
f^-1(5) = -3
so f^-1(x) = -ā(x + 4)
f(-3) = 5
f^-1(5) = -3
so f^-1(x) = -ā(x + 4)
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