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zimovet [89]
3 years ago
10

Please help!!

Mathematics
2 answers:
enot [183]3 years ago
7 0

Since g(h(x))=h(g(x))= x, hence functions h and g are inverses of each other

Given the functions expressed as:

h(x) =\sqrt{2x+2}\\g(x)\frac{x^2-2}{2}  \\

In order to check whether they are inverses of each other, we need to show that h(g(x)) = g(h(x))

Get the composite function h(g(x))

h(g(x))=h(\frac{x^2-2}{2} )\\h(g(x))=\sqrt{2(\frac{x^2-2}{2} )+2}\\h(g(x))=\sqrt{x^2-2+2} \\h(g(x))=\sqrt{x^2}\\h(g(x))=x

Get the composite function g(h(x))

g(h(x))=\frac{(\sqrt{2x+2} )^2-2}{2} \\g(h(x))=\frac{2x+2-2}{2}\\g(h(x))=\frac{2x}{2}\\g(h(x))=x

Since g(h(x))=h(g(x))= x, hence functions h and g are inverses of each other

Learn more on inverse functions here; brainly.com/question/14391067

Sladkaya [172]3 years ago
4 0

Answer:

it’s A

Step-by-step explanation: just took the test

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True [87]

Answer:

Commutative property of multiplication/associative property of multiplication

3 0
3 years ago
Given f(x) = 2x and<br> g(x) = x2+3 , find f(g(x)).
Nimfa-mama [501]

I'm assuming for g(x) you mean g(x) = x^2+3 for g(x)=x^2+3.

Going with that...

    \begin{aligned}f(g(x)) &= f\left( x^2+3 \right)~~~~~\text{plug $x^2+3$ in for $x$ in $f(x)$}\\[0.5em]&= 2\cdot ( x^2+3 )~~~~~\text{so $2x$ became $2(x^2+3)$}\\[0.5em]&= 2x^2+6\endaligned}

Just treat the enter g(x) function as a single input for f(x).

6 0
3 years ago
Help me please if you
LUCKY_DIMON [66]
The answer should be 12/5
5 0
3 years ago
Read 2 more answers
Select the equivalent expression.<br> 3-5 =?<br> Choose 1 answer:
makkiz [27]
3-5 is equal to -2 (hope this helps you) :)
6 0
3 years ago
Lacy work 15 hours last week she was paid $127.50 what is your hourly pay
kondor19780726 [428]

Given:

Lacy work 15 hours last week and she was paid $127.50.

To find:

The hourly pay of Lacy.

Solution:

We have,

15 hours pay = $127.50

To find the hourly pay of Lacy, we need to divide total pay by number of hours.

\text{Hourly pay}=\dfrac{\text{Total pay}}{\text{Number of hours}}

\text{Hourly pay}=\dfrac{127.50}{15}

\text{Hourly pay}=8.5

Therefore, the hourly pay of Lacy is $8.50.

8 0
3 years ago
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