3 years ago

When multplying negative exponents

Mathematics

1 answer:

musickatia [10]3 years ago

4 0

What’s the question?

You might be interested in

HEEELP

Drupady [299]

Answer: (c)

Step-by-step explanation:

Given

$f(x)=\dfrac{1}{x-3}\\\\g(x)=\sqrt{x+5}$

Here, $\sqrt{x+5}\ \text{is always greater than equal to 0}\\\Rightarrow x+5\geq 0\\\Rightarrow x\geq -5\quad \ldots(i)$

To get $f\left(g(x)\right)$ , replace $x$ in $f(x)$ by $g(x)\ \text{i.e. by}\ \sqrt{x+5}$

$\Rightarrow f\left(g(x)\right)=\dfrac{1}{\sqrt{x+5}-3}\\\\\text{Denominator must not be equal to 0}\\\\\therefore \sqrt{x+5}-3\neq0\\\Rightarrow \sqrt{x+5}\neq 3\\\Rightarrow x+5\neq 9\\\Rightarrow x\neq 4\quad \ldots(ii)$

Using $(i)$ and $(ii)$ it can be concluded that the domain of $f\left(g(x)\right)$ is all real numbers except 0.

Therefore, its domain is given by

$x\in [-5,4)\cup (4,\infty)$

Option (c) is correct.

5 0

3 years ago

Trina wants to hang-glide at the same number of meters above sea level as she scuba-dived below sea level.will she fly higher th

mihalych1998 [28]

I need more information, do you know how high Jessie flew and how low under sea level she went?

6 0

3 years ago

Help thank you appreciated will give brainliest

ivann1987 [24]

I think that it the secound one then the fourth one then the sixth one then the first one then the fifth one then third one the eighth one then the ninth one

6 0

3 years ago

PLEASE ANSWERRRRRRRRRRR

strojnjashka [21]

Answer:

2/5 or 0.4

Step-by-step explanation:

rise over run is 20/50, simplifies to 2/5

5 0

3 years ago

Write two decimals that are equivalent to 0.9

Maurinko [17]

0.90 and I think .9 is another I'm not sure but I tried

6 0

3 years ago

Read 2 more answers

When multplying negative exponents​

When multplying negative exponents