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Given that f(x) = x2 – 10x + 16 and g(x) = x – 8, find (f – g)(x) and

express the result in standard form.

User Eray Diler
by
8.5k points

1 Answer

3 votes

Answer:


(f-g)(x)=x^2-11x+24

Explanation:

So we know that:


f(x)=x^2-10x+16\text{ and } g(x)=x-8

And we want to find (f-g)(x).

This is the same as:


(f-g)(x)=f(x)-g(x)

Substitute:


=(x^2-10x+16)-(x-8)

Distribute the right:


=(x^2-10x+16)-x+8

Combine like terms:


=x^2-11x+24

And we're done!

User Evi Song
by
8.2k points

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