Question

Let f(x) = x + 2 and g(x) = x2 – 6x + 3. Find g(f(x))

Answer 1

in g(x) replace 'x' with 'x+2' and simplify

Answer 2

well im not simplifying right cause i keep getting it wrong

Answer 3

\[g(f(x))=(x+2)^2-6(x+2)+3\] i hope you can do it now :)

Answer 4

i did that part but i keep getting x^2-4x-9 as my answer which is wrong

Answer 5

you should get x^2-2x-5

Answer 6

i know but i dont know how to get there

Answer 7

okay. First expand (x+2)^2. what do you get?

Answer 8

x^2

Answer 9

ohhh i see what i did wrong thank you

Answer 10

\[g(f(x))=(x^2+2x+4)-6x-12+3=x^2-4x-5\]

Answer 11

very good.