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2 years ago

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>

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

<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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3 years ago

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maw [93]

Answer:

The y-intercept is the point (0,-8)

see the attached figure

Step-by-step explanation:

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we know that

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see the attached figure to better understand the problem

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