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Zina [86]
4 years ago
12

If g(x) = 3x + 2 and h(x) = 9x2 + 12x + 6, find a function f such that f ○ g = h

Mathematics
1 answer:
Virty [35]4 years ago
6 0
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.
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4 0
3 years ago
The local bakery uses 1.75 cups of flour in each batch of cookies. The bakery used 5.25 cups of flour this morning. If there are
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5 0
3 years ago
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7 0
4 years ago
How to find maximum and minimum values of a parabola
Arturiano [62]

Answer:

Step-by-step explanation:

Finding max/min: There are two ways to find the absolute maximum/minimum value for f(x) = ax2 + bx + c: Put the quadratic in standard form f(x) = a(x − h)2 + k, and the absolute maximum/minimum value is k and it occurs at x = h. If a > 0, then the parabola opens up, and it is a minimum functional value of f.

4 0
2 years ago
Oh please help me with this!!!
Vesna [10]

Answer:

x+74=180

x=180-74

x=106

x=4y+22

106-22=4y

84/4=y

21=y

y=21

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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