Question

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

Answer 1

@ganeshie8 plz help :)

Answer 2

g(f(x)) = g(x + 2) = (x + 2)^2 - 6(x + 2) + 3

Answer 3

do you know what's next?

Answer 4

no :(

Answer 5

do you distribute the ^2 and the -6 into each parenthesis?

Answer 6

(x + 2)^2 = (x + 2)(x + 2)
- 6(x + 2) = -6(x) + -6(2)

Answer 7

so would the final answer be x^2 - 2x - 5?

Answer 8

yup :)

Answer 9

THANKS!

Answer 10

this might help you
http://www.khanacademy.org/math/algebra/algebra-functions/v/functions-part-2