If g(x) = 3x + 2 and h(x) = 9x2 + 12x + 6, find a function f such that f ○ g = h
1 answer:
F(g(x)) = f(3x+2) = h(x)=9x^2+12x + 6
Note that (3x+2)^2 = 9x^2 + 12x + 4, which is almost, but not quite, equal to h(x).
Let's experiment. What if f(x) = x^2 + 2?
Then f(3x+2) = (3x+2)^2 + 2 = 9x^2 + 12x + 4 + 2 = 9x^2 + 12x + 6, which is the same as the given h(x).
Thus, f(x) is x^2 + 2.
You might be interested in
2 and 3/4 more cups of white flour are used than wheat flour.
5 x 3/4= 3 3/4
3 x 1/3= 1
3 3/4 - 1+ 2 3/4
Answer:
B
Step-by-step explanation:
Answer:
Step-by-step explanation:
Perimeter = 4c + 9 + 7c - 5 + 5c + 2 + 5c - 3
= 4c +7c + 5c +5c + 9 - 5 + 2 - 3
= 21c + 3
29.98/24≈1.25
2.29-1.25= $1.04