How do you denote the inverse of a function $$f(x)$$ ?

The inverse of a function $$f(x)$$ is denoted as $$f^{-1}(x)$$ .

What is the inverse of the function $$g(x) = -7x + 7$$ ?

The inverse is $$g^{-1}(x) = \frac{x - 7}{-7}$$ .

If a function is one-to-one, what can be said about its inverse?

If a function is one-to-one, its inverse is also a function.

What is the domain of the inverse function?

The domain of the inverse function is the range of the original function.

What is the range of the inverse function?

The range of the inverse function is the domain of the original function.

How can you verify if two functions are inverses of each other?

To verify, check if $$f(f^{-1}(x)) = x$$ and $$f^{-1}(f(x)) = x$$ for all $$x$$ in the domain.

What is the inverse of the function $$h(x) = 3x - 5$$ ?

The inverse is $$h^{-1}(x) = \frac{x + 5}{3}$$ .

What happens to the slopes of the original function and its inverse?

The slopes of the original function and its inverse are reciprocals of each other.

What is the significance of the point (a, b) in relation to inverse functions?

If (a, b) is a point on the graph of a function, then (b, a) is a point on the graph of its inverse.

What is the effect of a horizontal line test on a function?

If a function passes the horizontal line test, it is one-to-one and has an inverse.

Inverse Functions Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

What is an inverse function?

Back

2.

FLASHCARD QUESTION

Front

How do you find the inverse of a function algebraically?

Back

3.

FLASHCARD QUESTION

Front

What is the graphical representation of an inverse function?

Back

4.

FLASHCARD QUESTION

Front

What is the inverse of the points (1,3), (2,4), (6,2)?

Back

The inverse of the points is (3,1), (4,2), (2,6).

5.

FLASHCARD QUESTION

Front

What line do inverse functions reflect over?

Back

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

Back

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