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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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Step-by-step explanation:

To solve this problem, all we have to do is plug in y=-2 into either equations from step one to find the coordinate. To make sure we have the right x-coordinate, let's plug in y for both equations.

4x-7y=28        [plug in y=-2]

4x-7(-2)=28    [multiply]

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x=3.5

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Now, we know the solution to the system is (3.5,-2).

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Andrew can buy maximum 3 meals this weekend.

From given question,

Andrew must spend less than 53$ on meals during the weekend.

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