Asked by Francesca
Find the inverse of f: R→R given by f(x) = x³ – 2
Answers
Answered by
MathMate
To find the inverse of f(x) = y = x³ – 2
1. switch x and y
x = y³ – 2
2. Solve for y in terms of x
y=∛(x+2)
3. Plot both f(x) and f<sup>-1</sup>(x) on a graph. They should be mirror images of each other about y=x.
Also, this helps to check the domain and range of f<sup>-1</sup>(x).
In this case, f<sup>-1</sup>(x) is still R->R.
1. switch x and y
x = y³ – 2
2. Solve for y in terms of x
y=∛(x+2)
3. Plot both f(x) and f<sup>-1</sup>(x) on a graph. They should be mirror images of each other about y=x.
Also, this helps to check the domain and range of f<sup>-1</sup>(x).
In this case, f<sup>-1</sup>(x) is still R->R.
Answered by
Francesca
OK Thank you!
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