Respuesta :

Answer:

Given expression [tex]4(x-3)+5x^{\bf -2}[/tex] for x=2  is

[tex]4(x-3)+5x^{\bf -2}=-\frac{\bf 11}{\bf 4}[/tex]

Step-by-step explanation:

Given expression is  [tex]4(x-3)+5x^{-2}[/tex] for x=2

Let f(x) be the given expression

[tex]f(x)=4(x-3)+5x^{-2}[/tex]

now to find f(x) for x=2

ie., put x=2 in f(x) we get

[tex]4(x-3)+5x^{-2}=4(2-3)+5(2)^{-2}[/tex]

[tex]4(x-3)+5x^{-2}=4(-1)+5(2)^{-2}[/tex]

[tex]4(x-3)+5x^{-2}=-4+5\times \frac{1}{2}^}2}[/tex]

[tex]4(x-3)+5x^{-2}=-4+5\times \frac{1}{4}[/tex]

[tex]4(x-3)+5x^{-2}=-4+ \frac{5}{4}[/tex]

[tex]4(x-3)+5x^{-2}= \frac{-16+5}{4}[/tex]

[tex]4(x-3)+5x^{-2}= \frac{-11}{4}[/tex]

[tex]4(x-3)+5x^{-2}=-\frac{11}{4}[/tex]

Therefore the given expression [tex]4(x-3)+5x^{-2}[/tex] for x=2  is

[tex]4(x-3)+5x^{-2}=-\frac{11}{4}[/tex]

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