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Chapter 5: Q 40. (page 298)

Find the domain of the function.

Hx=log5x3

Short Answer

Expert verified

The domain of the given function Hxis0,鈭�.

Step by step solution

01

Step 1. Given information

A logarithmic function is given asH(x)=log5x3.

02

Step 2. Formula Used

The domain of the logarithmic functionf(x)=logax is determined by x>0.

03

Step 3. Finding The Domain

The function isH(x)=log5x3

Now, for the domain,

x3>0

On solving

x>0

The required domain of H(x), using

interval notation, is 0,鈭�.

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Most popular questions from this chapter

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

The domain of a one-to-one functionf is [0,鈭�), and its range is[5,鈭�). State the domain and the range of f-1.

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

f(x)=-3x-4x-2

Find the domain of the functionf(x)=x2-1x2-25.

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

5x2+8=1252x
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