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Section 7.3 Power Functions and Functions Operations

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Learning Goal ●Preform operations on functions that have rational exponents ●Learn about function composition (a function within a function)

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Operations on Functions

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What if we have functions with rational exponents? Use what you know to work on the problems below. Show your work and write down any questions that come up while working on it.

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Let f (x) = x 2 + 5, find f (3) = f (-8) = f (5280) = f (r) = f (w) = f (BOB) = f (2x – 3) =

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Composition of functions (a more nerdy version of inception) means we take the equation for g(x) and plug that into f(x). (f composed with g)

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\frac{f(x)}{g(x)} f( Domain: Range: Domain: Range:

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\frac{f(x)}{g(x)} f( Domain: Range: Domain: Range: Try.

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1.8 Inverse functions My domain is your range No! My range is your domain.

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