Question

Write the domain of the function $f\left(x\right)={\log }_4(1+x)$

• A. $(-1,\infty )$
• B. $(1,\infty )$
• C. $(2,\infty )$
• D. $Noneofthese$

Answer 1

The correct option is A $(-1,\infty )$

$f\left(x\right)={\log }_4(1+x)$

$\therefore 1+x>0\to$by def

$\therefore x>-1$

$\therefore$ Domain : - $(-1,\infty )$