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Get ready for AP® Calculus

Course: Get ready for AP® Calculus > Unit 3

Lesson 7: Verifying inverse functions by composition
Math
Get ready for AP® Calculus
Get ready for differentiation: composite, implicit, and inverse functions
Verifying inverse functions by composition
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Verify inverse functions

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Problem

Functions g and h are invertible functions.
g, left parenthesis, x, right parenthesis, equals, start fraction, x, plus, 8, divided by, 5, end fraction and h, left parenthesis, x, right parenthesis, equals, 5, left parenthesis, x, minus, 8, right parenthesis
Answer two questions about these functions.
Write a simplified expression for h, left parenthesis, g, left parenthesis, x, right parenthesis, right parenthesis in terms of x.
h, left parenthesis, g, left parenthesis, x, right parenthesis, right parenthesis, equals
Are functions g and h inverses?
Choose 1 answer:
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