How do you find the domain of $f(x)=log_8(x+1)$ ?

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Answer 1 · 2018-07-24T06:11:48

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$color(red)([x>(-1))]$ is the required domain of $color(red)(f(x))$

Using interval notation:

$color(red)((-1,oo)$

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Domain of a function can be defined a s a set of input values for which the function is real and defined .

We are given the function:

$color(blue)(y=f(x)=log_8(x+1)$

Use positive values only for this problem:

$color(red)(x+1>0$

Subtract $color(blue)(1$ from both sides

$rArr [(x+1)-1]>0-1$

$rArr x+1-1>0-1$

$rArr x+cancel 1-cancel 1>0-1$

$rArr x> (-1)$

Hence, our final solution is:

$color(red)([x>(-1))]$ is the required domain of $color(red)(f(x))$

Using interval notation:

$color(red)((-1,oo)$

Hope this helps.

How do you find the domain of f(x)=log_8(x+1)f(x)=log_8(x+1)?