Complete Theory

Worked Examples

Example 1Domain of a composite function

Example 2Invertible function — finding the inverse

Exercise 1Domain and propertiesMedium

📋 Problem to solve

Find the domain of

f(x)=\dfrac{\ln(x-1)}{\sqrt{4-x}}

and determine whether it is even, odd, or neither.

Exercise 2Inverse functionMedium

📋 Problem to solve

Given

f(x)=e^{2x-1}

, find

f^{-1}(x)

and its domain.

📚

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