Urgent algebra 2 question!!! Given f(g(x)) = (x + 1)², find f(x) and g(x).?

Question

need it by monday aug 21. plz help.

can someone clarify the steps? How did you get the answer? You can edit you answer to add the steps. I will choose the one with clearest explaination as best answer. Thanks everyone who answered!

Answer 1

There are a lot of answers in this question!
Examples:
f(x) = x^2 g(x) = x + 1
f(x) = (x + 1)^2 g(x) = x
f(x) = (x -1)^2 g(x) = x + 2
f(x) = x g(x) = (x + 1)^2
f(x) = (2x)^2 g(x) = (x + 1) / 2
.........................................................................etc.

Answer 2

F(x)= x^2 and g(x)= x+1.

So g(x)= x+1 and f(g(x))= (x+1)^2

Answer 3

a. 6. for this one, locate both because the x fee and seem down the table to locate the gx of the x fee. then locate the fx of this new x fee. g(2)=6, then f(6)=6 b. 5. use 2 as x fee and locate the fx through utilising chart and searching all the way down to locate fx. then repeat procedure with new values for gx, then fx back. f(2)=5, then g(5)=2, then f(2)=5.

Answer 4

Another possibility

g(x) = x * (x+2)
f(x) = x + 1

Answer 5

g(x)= x+1

f(x) = x^2

nice job on the squared power symbol btw - how did you do it?

if you reversed the functions - ie

g(f(x)) = x^2 +1 would be your result

Answer 6

not much to it

f(g(x)) = (x + 1)^2

f(x) = x^2
g(x) = x + 1

so

f(g(x)) = f(x + 1)
f(x + 1) = (x + 1)^2

so therefore

f(g(x)) = (x + 1)^2

Answer 7

I believe that a part of the question is missing.

Answer 8

The other answers are right but, theere is no nique answer

Answer 9

The f(x) is x^2
The g(X) is x+1

Answer 10

g(x) = x+1
f(x) = x^2