HSC Together Year 11 Maths Extension: Domain and Range for Inverse Functions

#### Maths Extension

• Further Work with Functions
• Polynomials
• Inverse Trigonometric Functions
• Further Trigonometric Identities
• Rates of Change
• Working with Combinatorics
• Back to other subjects
Back to other subjects

# Domain and Range for Inverse Functions

Let’s learn a little bit about the domain and range for inverse functions. This is part of the Prelim Maths Extension 1 Syllabus from the topic Functions: Further, Work with Functions, specifically focusing on domain and range for inverse functions. Typically, we can see these using the following:

• The domain of the original function is the range of its inverse function.
• The range of the original function is the domain of its inverse function.
• Looking at the denominator of any fractions that occur in the function.

### When to use inverse relation and relationships between domains and ranges

Below we will learn to when the inverse relation is a function, use the notation f^-1(x) and identify the relationships between the domains and ranges of f(x) and f^-1(x) .

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