Answer:
1st fog = [tex]9x^{2} - 45x + 52[/tex]
gof = [tex]3x^{2} - 15x + 1[/tex]
2nd fog (-2) = -5
gof ( 1 ) = 115
Step-by-step explanation:
How to solve composite function is easy.
Let's presume f(x) = x^2 - 5x+2 and g(x) = 3x - 5
Find fog(x)
I. Place f(x) = x^2 - 5x +2
II. Replace x value with g(x)
=(3x - 5)^2 - 5(3x-5) +2
= 9x^2 - 30x +25 - 15x + 25 + 2
= 9x^2 - 45x + 52
III. If x value (x) = 1, you just replace x with 1
= 9( 1^2 ) -45( 1 ) + 52
= 9 - 45 + 52
= 16
So fog(1) = 16
What about you? What did you get?
