3 years ago

Find the domain of the graph

1 answer:

enot [183]3 years ago

3 0

Answer:

The domain should be on the x-axis.

I might be wrong.

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Anastaziya [24]

0.270 repeated. I used long division and a calculator. hoped this helped.

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VashaNatasha [74]

Answer:

where is the graph, I don't see, but I want to help

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Fittoniya [83]

B is the right answer

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Firlakuza [10]

Square root of three or 1.7320

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3 years ago

Xelga [282]

The denominator cannot be zero, so

$e^x - 9 = 0 \implies e^x = 9 \implies x = \ln(9)$

is not in the domain of $f(x)$ .

$\ln(x)$ is defined only for $x>0$ , and we have

$\ln(x+1) > 0 \implies e^{\ln(x+1)} > e^0 \implies x+1 > 1 \implies x>0$

so there is no issue here.

By the same token, we need to have

$x+1 > 0 \implies x > -1$

Taking all the exclusions together, we find the domain of $f(x)$ is the set

$\left\{ x \in \Bbb R \mid x > 0 \text{ and } x \neq \ln(9)\right\}$

or equivalently, the interval $(0,\ln(9))\cup(\ln(9),\infty)$ .

3 0

1 year ago