1720 Find a formula for f 1(x), and state the domain of the function f 1. f(x) = x + 3 1

Chapter 0, Problem 18

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QUESTION:

Find a formula for \(f^{-1}(x)\), and state the domain of the function  \(f^{-1}\)

                          \(f(x)=\sqrt{x+3}\)

Equation Transcription:

Text Transcription:

f^-1(x)

f^-1

f(x)=square root x+3

Questions & Answers

QUESTION:

Find a formula for \(f^{-1}(x)\), and state the domain of the function  \(f^{-1}\)

                          \(f(x)=\sqrt{x+3}\)

Equation Transcription:

Text Transcription:

f^-1(x)

f^-1

f(x)=square root x+3

ANSWER:

Step 1 of 2

The function is .

This function is defined for all real values more than equal to  (as square root is not defined for negative values).

Also, for these values, the function gives all real values more than equal to 0 .

That is, the range of the function  is .

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