How do you find the inverse of f(x)=x^2-2f(x)=x2−2 from x<=0x≤0 and graph both f and f^-1f−1?
1 Answer
Sep 5, 2017
See below.
Explanation:
To find the inverse of a function, you can switch the
y=x^2 - 2y=x2−2
x = y^2 - 2x=y2−2 ->→ switch variables
x+2 = y^2x+2=y2
y = +- sqrt (x+2)y=±√x+2
However, since
f^(-1)(x) = -sqrt(x+2)f−1(x)=−√x+2
To graph
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To graph
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If two functions are inverses, they should be reflections of each other over the line
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