If u(x)=-2x^2+3 and v(x)=1/x what is the range of (u*v)(x) **the picture should

The range of a function is simply the output values the function can take.

The range of the function is:

Given

can be represented as:

So, we have:

Substitute v(x) for x

Substitute for v(x)

Open brackets

Take LCM

I've added an attachment of function u(v(x)) to determine its range.

From the attached graph, we have the following observations

This implies that, the range of the function is: or

Read more about range at:

link

a negative exponent is translated as follows:

so, we have

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step-by-step explanation: