7.Given f(x)andg(x) =x - 2Express the domain of f(x)Express the domain of g(x)in interval notation.a)b)in interval notation.c)Determine and simplify the composition function (g o f)(x).d)Express the domain of (g o f)(x) in interval notation.e)Find the equation for g-'(x).f)Express the domain of g-'(x) in interval notation.

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Answered: 7. g(x) = -7 Given (x) = and Express…

7. g(x) = -7 Given (x) = and Express the domain of (x) b) Express the domain of g(x) in interval notation. a) in interval notation. c) Determine and simplify the composition function (g º )(x).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.5: Rational Functions

Problem 54E

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Concept explainers

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.

Question

7.
Given f(x)
and
g(x) =
x - 2
Express the domain of f(x)
Express the domain of g(x)
in interval notation.
a)
b)
in interval notation.
c)
Determine and simplify the composition function (g o f)(x).
d)
Express the domain of (g o f)(x) in interval notation.
e)
Find the equation for g-'(x).
f)
Express the domain of g-'(x) in interval notation.

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