Let f(x)1and g(x)+ 7.Find and simplify the following:(a) (ƒ o g)(x) =(b) the domain of (f o g)(x) is ¤ ±(c) (go f)(x):(d) the domain of (go f)(x) is x + Let f(x) = 2x² + 5 and g(x)5æ? + 8.%3D%3DFind and simplify each of the following functions:(a) (f + g)(x) = 9(b) (f – 9)(x) = 5%3D(c) (f · g)(x) =14) (2) = 7/2(d)

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Answered: 1 and g(x) x – 7 Let f(x) +7. Find and…

1 and g(x) x – 7 Let f(x) +7. Find and simplify the following: (a) (ƒ o g)(x) (b) the domain of (ƒ o g)(x) is x (c) (g o f)(x) (d) the domain of (g o f)(x) is x

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.4: Composition Of Functions

Problem 4SE: How do you find the domain for the composition of two functions, fg ?

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Concept explainers

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.

Question

Let f(x)
1
and g(x)
+ 7.
Find and simplify the following:
(a) (ƒ o g)(x) =
(b) the domain of (f o g)(x) is ¤ ±
(c) (go f)(x):
(d) the domain of (go f)(x) is x +

Let f(x) = 2x² + 5 and g(x)
5æ? + 8.
%3D
%3D
Find and simplify each of the following functions:
(a) (f + g)(x) = 9
(b) (f – 9)(x) = 5
%3D
(c) (f · g)(x) =
14
) (2) = 7/2
(d)

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