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Chapter 5: Q. 5 (page 256)

True or Falsefgx=fx.gx.

Short Answer

Expert verified

fgx=fx.gxis false statement.

Step by step solution

01

Step 1. Given Information.

The given statement isfgx=fx.gx.

02

Step 2. Definition of composite functions

Given two functions f and g, the composite function, denoted by f鈭�g(read as 鈥渇 composed with g鈥�), is defined by f鈭�gx=fgx.

So,f(g(x))=f(x).g(x)is false.

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Most popular questions from this chapter

Solve the equation(15)x=125

and verify your results using a graphing utility.

Answers are given at the end of these exercises. If you get a wrong answer, read the pages listed in red.

True or False

The domain of the exponential function

f(x)=axwhere a>0,a鈮�1is the set of all real numbers.

solve each equation. Verify your results using a graphing utility.

ex=e3x+8

Begin with the graph of y=exand use transformation to graph the function. Determine the domain, range and horizontal asymptote of the function.

fx=ex-1

the function f is one-to-one. Find its inverse and check your answer.

f(x)=x2+33x2x>0
See all solutions

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