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  • Please,please help me - Sets, Relations and Functions - JEE Main

Which of the following is the domain of f(x)=\log _{2}\left ( x+4 \right )

 

  • Option 1)

    \left ( 0,\infty \right )

     

     

     

  • Option 2)

    \left ( -2,\infty \right )

  • Option 3)

    \left ( -4,\infty \right )

  • Option 4)

    none of these.

 

Answers (1)

best_answer

As we learned 

 

Logarithmic Function -

f\left ( x \right )= \log\: _{a}x

base:a> 0,a\neq 1

domin:x> 0

Range:f\left ( x \right )\in R

- wherein

 

 

in \log _{2}x\left ( x+4 \right )\: \: \: ;\: \: > 0.

i.e   x> -4.

 


Option 1)

\left ( 0,\infty \right )

 

 

 

Option 2)

\left ( -2,\infty \right )

Option 3)

\left ( -4,\infty \right )

Option 4)

none of these.

Posted by

Himanshu

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