# Math (pre-celc 12)

Given (f+g)(x)=10-3x and (f-g)(x)=5x-14, find f(x) and g(x).

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1. (f+g)+(f-g) = 2f
so,
2f(x) = (10-3x)+(5x-14) = 2x-4
f(x) = x-2

You can find g(x) in a similar way.

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2. So, g-g=0

wouldn't that get me g(x)=0?

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3. come on; this is Algebra I

(f+g)-(f-g) = 2g

2g = (10-3x)-(5x-14) = -8x+24
g(x) = -4x+12

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4. or, now that you know f,

f+g-f = g
so,
g(x) = (10-3x)-(x-2) = 12-4x

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