Mamona Full Member 10+ Year Member 5+ Year Member 15+ Year Member Joined Aug 5, 2007 Messages 358 Reaction score 1 Aug 26, 2008 #1 Find f[g(x)] if f(x) = x^2 – 2x + 3 and g(x) = x + 1. The answer is x^2 + 2 Members don't see this ad.
Find f[g(x)] if f(x) = x^2 – 2x + 3 and g(x) = x + 1. The answer is x^2 + 2 Members don't see this ad.
H harrygt Full Member 15+ Year Member Joined Jun 16, 2008 Messages 802 Reaction score 7 Aug 26, 2008 #2 Mamona said: Find f[g(x)] if f(x) = x^2 2x + 3 and g(x) = x + 1. The answer is x^2 + 2 Click to expand... Because you are looking for f [g(x)], all you have to do is plug g(x) in each x in the f(x) relation. It will be (x+1)^2 - 2(x+1) + 3 = x^2 + 2 Upvote 0 Downvote
Mamona said: Find f[g(x)] if f(x) = x^2 2x + 3 and g(x) = x + 1. The answer is x^2 + 2 Click to expand... Because you are looking for f [g(x)], all you have to do is plug g(x) in each x in the f(x) relation. It will be (x+1)^2 - 2(x+1) + 3 = x^2 + 2
A artanis Full Member 10+ Year Member 15+ Year Member Joined Apr 19, 2008 Messages 168 Reaction score 0 Aug 26, 2008 #3 Hey, the question is asking for F of G of x. So sub g(x) = x + 1 into the equation f (x) = x^2 - 2x + 3. So wherever you see an x, sub in x = (x + 1) (f(g(x)) = (x+1)^2 - 2(x+1) + 3 = x^2 + 2x + 1 -2(x+1) + 3 = x^2 + 2x + 1 - 2x - 2 + 3 = x^2 + 2 Mamona said: Find f[g(x)] if f(x) = x^2 2x + 3 and g(x) = x + 1. The answer is x^2 + 2 Click to expand... Upvote 0 Downvote
Hey, the question is asking for F of G of x. So sub g(x) = x + 1 into the equation f (x) = x^2 - 2x + 3. So wherever you see an x, sub in x = (x + 1) (f(g(x)) = (x+1)^2 - 2(x+1) + 3 = x^2 + 2x + 1 -2(x+1) + 3 = x^2 + 2x + 1 - 2x - 2 + 3 = x^2 + 2 Mamona said: Find f[g(x)] if f(x) = x^2 2x + 3 and g(x) = x + 1. The answer is x^2 + 2 Click to expand...
I Ilkaan Full Member 10+ Year Member 15+ Year Member Joined Aug 5, 2008 Messages 34 Reaction score 0 Aug 26, 2008 #4 Mamona said: Find f[g(x)] if f(x) = x^2 2x + 3 and g(x) = x + 1. The answer is x^2 + 2 Click to expand... (x +1)^2 -2(x+1) + 3 (x^2 + 2x + 1) -2x-2 + 3 x^2 + 2x + 1-2x-2 + 3 do the cancelation and addition you will get x^2 + 2 Hope that will help Upvote 0 Downvote
Mamona said: Find f[g(x)] if f(x) = x^2 2x + 3 and g(x) = x + 1. The answer is x^2 + 2 Click to expand... (x +1)^2 -2(x+1) + 3 (x^2 + 2x + 1) -2x-2 + 3 x^2 + 2x + 1-2x-2 + 3 do the cancelation and addition you will get x^2 + 2 Hope that will help
Mamona Full Member 10+ Year Member 5+ Year Member 15+ Year Member Joined Aug 5, 2007 Messages 358 Reaction score 1 Aug 26, 2008 #5 Thank you very much guys I got it now!!!! Upvote 0 Downvote