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3 years ago

12

Solve the absolute value equation, if possible. If there is no solution, explain why.

1 answer:

Kay [80]3 years ago

5 0

There is no solution. I know this because the answer to an absolute value expression cannot be a negative.

Let´s explain. The absolute value means how far the number is from 0. You can´t be -5 units away from 0, right? This is why the answer to an absolute value expression cannot be negative.

Since the whole left side of the equation is surrounded by absolute value bars, it should be equal to a positive number. But it's not. So, there is no solution.

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Sliva [168]

The value of $f(g(x))$ is $6x^{3} +4$

Explanation:

The function $f(x)$ is given by

$f(x)=2x^{2} +4$

The function $g(x)$ is given by

$g(x)=\sqrt{3x^{3} }$

To determine the value of $f(g(x))$ , let us first substitute the value of $g(x)$ .

Thus, we get,

$f(g(x))=f(\sqrt{3x^{3} } )$

Now, substituting for $x=\sqrt{3x^{3} }$ in the function $f(x)$ , we get,

$f(g(x))=2(\sqrt{3x^{3} } )^2+4$

Simplifying, the expression, we get,

$f(g(x))=2({3x^{3} } )+4$

Multiplying the term within the bracket, we have,

$f(g(x))=6x^{3} +4$

Thus, the value of $f(g(x))$ is $6x^{3} +4$

Hence, the value of $f(g(x))$ represents the total amount of money that Barrett earns for working x hours.

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3 years ago

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e-lub [12.9K]

Answer:

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Step-by-step explanation:

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Step-by-step explanation

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(1,-2) and (0,-5) (There are an infinite amount more)

Step-by-step explanation:

The easiest way to find solutions is to plug in an x value. Let's try 1:

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Step-by-step explanation:

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