Rewrite the rational function g(x)=x−4x in the form g(x)=c+rx, where c and r are constants.

A function can be rewritten in several ways.

in form of is

The function is given as:

Evaluate like terms

Add 0 to the function

Rewrite as:

Compare the above function to: ;

We have:

Hence, in form of is

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g(x) = 0+(-3)x

Step-by-step explanation:

Given Function : g(x)=x−4x

To rewrite the above function g(x) in the form g(x)=c+rx, where c and r are constants.

Consider  g(x)=x−4x = x(1-4)

⇒g(x) = -3x

⇒g(x) = 0+(-3)x

Here c = 0 , r =-3

Hence , the solution is g(x) = 0+(-3)x.

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