SOLUTION: Find the inverse of f(x)= 2tan(x - 1) + 3. Then state the domain and range of both f(x) and f-1
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Question 512064: Find the inverse of f(x)= 2tan(x - 1) + 3. Then state the domain and range of both f(x) and f-1
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the inverse of f(x)= 2tan(x - 1) + 3.
Interchange x and y; then solve for "y":
x = 2tan(y-1)+3
(x-3)/2 = tan(y-1)
----
y-1 = arctan[(x-3)/2]
---
f^-1(x) = arctan[(x-3)/2]+1
----
Domain of f^-1: All Real Numbers
Range of f^-1: All Real Numbers
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f(x) = 2*tan(x-1)+3
Domain: All Real Numbers
Range: All Real Numbers
================================
Cheers,
Stan H.
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