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andrey2020 [161]
2 years ago
7

If g (x)=4x+7 and h (x)=x-6, find g (h(x))

Mathematics
1 answer:
Lena [83]2 years ago
3 0
<h2>Answer:</h2>

g(h(x))=4x-17.

<h2 /><h2>Step-by-step explanation:</h2>

<em>This is a problem of combination of functions. Let's find the combination of f(x) and g(x).</em>

<h2 /><h3>1. Write the full argument of g(x).</h3><h2>g(x)=4x+7</h2><h2 /><h3>2. Insert the argument of h(x) as if it was an x value on g(x).</h3>

<em>Argument of h(x): </em>x-6<em>.</em>

g(h(x))=4(x-6)+7

<h3>3. Apply the associative property of multiplication to solve the parenthesis.</h3>

g(h(x))=[(4)(x)+(4)(-6)]+7\\ \\g(h(x))=[4x+(-24)+7\\ \\g(h(x))=4x-24+7

<h3>4. Simplify by adding.</h3>

g(h(x))=4x-17.

<u>------------------------------------------------------------------------------------------------------- </u>

<em>Learn more about </em><em>combination of functions</em><em> here: </em>

<em>brainly.com/question/28263470 </em>

<em>brainly.com/question/28308849 </em>

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6 0
3 years ago
For what value does x does 3^2x= g^3x-4<br> A)1<br> B)2<br> C)3<br> D)4
netineya [11]
The question has an error because the letter g does not make sense in the context.

I will assume that the g is really the number 9.

In that case, the equation to solve would be:

3^{2x} =  9^{3x-4}

You can solve for x following these steps:

1) make      9=3^2

=>

3^{2x} = 3^{2(3x-4)}

2) Given that the basis are equal the exponents have to be equal =>

2x = 2(3x - 4)

3) Solve:

2x = 6x - 8

6x - 2x = 8

4x = 8

x = 8/4

x = 2 which is the option B) which leads me to think that a 9 instead of g in the equation should be right.

Under that assumption, the answer is the option B) x = 2.

3 0
3 years ago
PLEASE HELP, THANK YOU!!!
gladu [14]
5500+100.50x=4597+<span>175.75x
</span>175.75x-100.50x=5500-4597
75.25x= 903
x=903/75.25
x=12
for 12 ton of sugar <span>the two companies charge the same</span>
3 0
3 years ago
15-(-5)= .......<br> And <br> 20-(-12)=.....
Ann [662]

Answer:15-(-5)=20

20-(-12)=32

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
10x - 4y = -4 -3x + 7y = -22 método de Cramer
-BARSIC- [3]

(-2,-4)

Cramer's rule

10x - 4y = -4

-3x + 7y = -22

Main determinant : 58

Determinant of <em>x</em> : -116

Determinant of <em>y</em> : -232

So, (-2,-4)

Hope this helps and please consider marking branliest.

6 0
3 years ago
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