[tex]\boxed{g(x)f(x)=-4x+2}[/tex]
Explanation:
Here we have two functions:
[tex]f(x)=2x-1 \ and \ g(x)=-2[/tex]
And we want to find the product of these two functions, that is, another function, say, [tex]h(x)[/tex] such that:
[tex]h(x)=g(x)f(x)[/tex]
So:
[tex]h(x)=-2(2x-1) \\ \\ Applying \ distributive \ property: \\ \\ h(x)=-4x+2[/tex]
Finally:
[tex]\boxed{g(x)f(x)=-4x+2}[/tex]
Learn more:
Inverse function: https://brainly.com/question/9980183
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