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Chapter 5: Q. 4 (page 256)

Given two functions f and g, the _____, denoted f鈭�g, is defined byf鈭�gx____.

Short Answer

Expert verified

The answers are composition of two functions , andfgx.

Step by step solution

01

Step 1. Given Informtaion.

Given two functions f and g, the ______ ,f鈭�gis defined byf鈭�gx_____.

02

Step 2. Composition of functions

The function composition is an operation 鈭� that takes two functions f and g, and produces a function h=g鈭�fsuch that hx=gfx.

Given two functions f and g, the _composition of two functions ,f鈭�gis defined byf鈭�gx=fgx.

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Most popular questions from this chapter

Solve the equation. Verify your results using a graphing utility.

7x=73

If fx=ax, show thatf-x=1fx.

If g(-5)=3 and g is one-to-one, what is g-1(3)?

Evaluate each expression using the graphs of y=f(x)and y=g(x)shown in the figure.

(a)g鈭�f-1 (b) g鈭�f0(c) f鈭�g-1(d) f鈭�g4.

Use the graph of y=f(x)given in Problem 44to evaluate

the following:

(a)f(2)

(b) f(1)

(c) f-1(0)

(d) f-1(-1)
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