Question

Given the functions f(x) = x+2 and g(x)= x^2, what values of x result in f(g(x)) = g(f(x))

Answer 1

x^2+2 = x^2+4x+2

Answer 2

correct, can you solve that?

Answer 3

would i solve each individually?

Answer 4

I think there's a mistake above
g(f(x)) = (x+2)^2 = x2 + 4x + 4, you had above +2 instead of +4

Answer 5

do i need to set one side euqal to zero? or just factor out those polynomials

Answer 6

if you group the x's on one side and the numbers on the other side, what do u get?

Answer 7

-1/2

Answer 8

@ganeshie8 can I consult your expertise with one?
I also get x = -1/2 just getting a second opinion...

Answer 9

yes x=-1/2 seems correct

Answer 10

looks good to me :)

Answer 11

thanks @ganeshie8 U DA MAN:)

Answer 12

they both equal 2.25
:D, finally done, thanks guys

Answer 13

yw