SOLUTION: if f(x) = x-1 and g(x) = x^2 +1 find:
1. g(5)
2. f(g(5))
3. f(g(x))
4. g(f(x))
5. find all values of x for which f(g(x)) = g(f(x))
Algebra ->
Rational-functions
-> SOLUTION: if f(x) = x-1 and g(x) = x^2 +1 find:
1. g(5)
2. f(g(5))
3. f(g(x))
4. g(f(x))
5. find all values of x for which f(g(x)) = g(f(x))
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Question 31419: if f(x) = x-1 and g(x) = x^2 +1 find:
1. g(5)
2. f(g(5))
3. f(g(x))
4. g(f(x))
5. find all values of x for which f(g(x)) = g(f(x)) Answer by mukhopadhyay(490) (Show Source):
You can put this solution on YOUR website! 1. g(5) = 5^2+1 = 26
2. f(g(5)) = f(26) = 26-1 = 25
3. f(g(x)) = f(x^2+1) = x^2+1-1 = x^2
4. g(f(x)) = g(x-1) = (x-1)^2+1 = x^2-2x+1+1 = x^2-2x+2
5. find all values of x for which f(g(x)) = g(f(x)):
f(g(x)) = g(f(x))
=>x^2 = x^2-2x+2
=>2x = 2
=>x = 1
For x=1, f(g(x)) = g(f(x))
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