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Given that f(x) = x2 - 6x + 8 and g(x) = x - 2, find (f.g)(x) and express the result in standard form.

Sagot :

Answer:

[tex](f.g)(x)=x^2-10x+24[/tex]

Explanation:

Given that

[tex]f(x)=x^2-6x+8[/tex]

and

[tex]g(x)=x-2[/tex][tex](f.g)(x)=(x-2)^2-6(x-2)+8[/tex]

Simplifying this, we have:

[tex]\begin{gathered} x^2-4x+4-6x+12+8 \\ =x^2-10x+24 \end{gathered}[/tex]

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