Asked by Jana

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

I'm not sure how to go about this.
Answered by Steve
(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.
Answered by Jana
So, g-g=0

wouldn't that get me g(x)=0?
Answered by Steve
come on; this is Algebra I

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

2g = (10-3x)-(5x-14) = -8x+24
g(x) = -4x+12
Answered by Steve
or, now that you know f,

f+g-f = g
so,
g(x) = (10-3x)-(x-2) = 12-4x
There are no AI answers yet. The ability to request AI answers is coming soon!