SOLUTION: 1. f(x)=1-x, g(x)=1+x Find. 1.(fog) (x) 2.(fog) (-2) 3. (gof) (-1)

Algebra ->  Functions -> SOLUTION: 1. f(x)=1-x, g(x)=1+x Find. 1.(fog) (x) 2.(fog) (-2) 3. (gof) (-1)      Log On


   



Question 764187: 1. f(x)=1-x, g(x)=1+x
Find.
1.(fog) (x)
2.(fog) (-2)
3. (gof) (-1)

Found 2 solutions by stanbon, Cromlix:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
1. f(x)=1-x, g(x)=1+x
Find.
1.(fog) (x) = f[1+x] = 1-(1+x) = -x
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2.(fog) (-2) = f[g(-2)] = f[1-2] = f(-1) = 1--1 = 2
-------------------------------------
3. (gof) (-1) = g[f(-1)] = g[2] = 3
=========================================
Cheers,
Stan H.

Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
1. f(x)=1-x, g(x)=1+x
Find.
1.(fog) (x)
2.(fog) (-2)
3. (gof) (-1)
1) fog = (f(g))= (1 - (1 + x) = x
2) fog (-2) = -2
3) gof = (g(f))= 1 + (1 - x) = 2 - x
gof (-1) = 2 -(-1) = 3
Hope this helps.
:-)