F(x) =x^2-4x+2 and g(x) =3x-7 find (fog)(x)

Question

asked Apr 25, 2021 23.2k views

2 Answers

Neonigma · Answer 1 · 2021-04-25T17:33:12+0000

Answer:

Explanation:

hello :

F(x) =x²-4x+2 and g(x) =3x-7

(fog)(x)=f(g(x))=f(3x-7) = (3x-7)²-4(3x-7)+2

(fog)(x)= 9x²-42x+49-12x+28+2

in standard form : (fog)(x)= 9x²-54x+79

Leonel · Answer 2 · 2021-05-01T06:09:15+0000

Answer:

9x² - 54x + 79

Explanation:

To find (f ￮ g)(x) substitute x = g(x) into f(x), that is

f(g(x))

= f(3x - 7)

= (3x - 7)² - 4(3x - 7) + 2 ← expand factor using FOIL

= 9x² - 42x + 49 - 12x + 28 + 2 ← collect like terms

= 9x² - 54x + 79