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
Answer:C
Step-by-step explanation:
Answer:
8.25 is the answer.
Step-by-step explanation:
Hope this helps!
Answer:
1/3
Step-by-step explanation:
Given two points on the line, we can find the slope using
m = (y2-y1)/(x2-x1)
= (8-7)/(6-3)
= 1/3
Answer: (-0.0549,-1.0732)