Respuesta :

Given:

f(x)=2x-5 and g(x)=2-x

To find (fg)(x):

Using the property,

[tex]\begin{gathered} (fg)(x)=f(x)g(x) \\ =(2x-5)(2-x) \\ =4x-2x^2-10+5x \\ =-2x^2+9x-10 \end{gathered}[/tex]

Hence, the answer is,

[tex]-2x^2+9x-10[/tex]

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