Can someone please help?

Question

Find f ○ g if g(x) = x + 1 and f(x) = 2x2 - 5x + 8

883 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-04-03T00:48:41

#f(g(x)) = 2x^2 - 5x + 5# OR #f(g(x)) = f(x) - 3#

#(f @ g)(x) = f(g(x)) = 2(x+ 1)^2 - 5(x + 1) + 8#

Simplifying a little we get

#f(g(x)) = 2(x^2 + 2x + 1) - 5x - 5 + 8#

#f(g(x)) = 2x^2 + 4x + 2 - 5x + 3#

#f(g(x)) = 2x^2 - x + 5#

Hopefully this helps!