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Savatey [412]
3 years ago
14

Write an equation or system of equations to solve the problem below.

Mathematics
1 answer:
VashaNatasha [74]3 years ago
5 0

Equations:

2x+105=-3x+130

<em>subtract</em><em> </em><em>2x</em><em> </em><em>from</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em>

<em>105</em><em>=</em><em> </em><em>-5x</em><em>+</em><em>130</em>

<em>Subtract</em><em> </em><em>130</em><em> </em><em>from</em><em> </em><em>both</em><em> </em><em>sides</em>

<em>-5x</em><em>=</em><em> </em><em>-25</em>

<em>isolate</em><em> </em><em>the</em><em> </em><em>variable</em>

<em>x</em><em>=</em><em>5</em><em> </em>

<u>Plug</u><u> </u><u>back</u><u> </u><u>in</u>

<u>2</u><u>(</u><u>5</u><u>)</u><u>+</u><u>105</u><u>=</u><u> </u><u>-3</u><u>(</u><u>5</u><u>)</u><u>+</u><u>130</u>

<u>115</u><u>=</u><u> </u><u> </u><u>115</u>

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Option B. f(g(x)) = (1-5x ^ 2) ^ 3  all real numbers

Step-by-step explanation:

We have

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They ask us to find

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To solve this problem we must introduce the function g(x) within the function f(x)

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The domain of the function f(g(x)) is the range of the function g(x) = 1-5x ^ 2.

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Therefore the correct answer is the option b: f(g(x)) = (1-5x ^ 2) ^ 3

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