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Zina [86]
3 years ago
7

If ƒ(x) = x + 2 and g(x) = 3x2 + 7x, find ....

Mathematics
1 answer:
Tamiku [17]3 years ago
7 0

Answer:

The correct answer is option C

(f o g)(x) = 3x² + 7x + 2

Step-by-step explanation:

<u>Points to remember</u>

<u>Composite functions</u>

Let f(x) and g(x) be the two functions then (f o g)(x) can be written as

(f o g)(x) = f(g(x))

<u>To find the value of (f o g)(x)</u>

Here f(x) =x + 2  and g(x) = 3x² + 7x

(f o g)(x) = f(g(x))

 = f(3x² + 7x)

 = 3x² + 7x + 2

Therefore the correct answer is option C

(f o g)(x) = 3x² + 7x + 2

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3 years ago
Find the domain and range of the exponential function h(x) = 125x.
Yanka [14]
H would decrease either way because h is a variable for a certain number. that number would usually be divided from both sides. you would be eliminating x from the equation. 125x/h. by dividing you are creating a smaller number. by dividing you are decreasing. you're welcome. :)
8 0
3 years ago
FRER POINTS ANSWR NOW........
Alika [10]

Answer:

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Step-by-step explanation:

3 0
3 years ago
If g(x) = 4x2 - 16 were shifted 9 units to the right and 1 down, what would the new equation be? A. h(x) = 4(x + 9)2 – 17
ArbitrLikvidat [17]

Answer:

Step-by-step explanation:

If you move down 1 unit, you simply subtract 9 units from the given equation.

g(x) = 4x^2 - 16 - 1

g(x) = 4x^2 - 17

Shifting right is a little bit tricky. To shift right, you have to do the opposite of what you would do on the number line. The x has to become x - 9 because the x value (you will learn later) is part of a distance and distances always subtract one from the other.

The wrong way to do it is in answer A.

B is the correct answer

h(x) = 4(x - 9)^2 - 17

6 0
3 years ago
Q.5(b) The population {(P) in millions} of a country is estimated by the function, P=125e0.035t, t = time measured in years sinc
nekit [7.7K]

Answer:

Hello,

Step-by-step explanation:

Q.5(b) The population {(P) in millions} of a country is estimated by the function, P=125e0.035t, t = time measured in years since 1990. (a) what is the population expected to equal in year 2000 (b) determine the expression for the instantaneous rate of change in the population (c) what is the instantaneous rate of change in the population expected to equal in year 2000.

P(t)=125*e^{0.035*t}\\a)\\P(2000)=125*e^{0.035*(2000-1990)}=177.38...\\\\b)\\P'(t)=125*0.035*e^{0.035*t}\\\\c)\\\\P'(2000)=125*0.035*e^{0.035*(2000-1990)}=6.2084...

5 0
3 years ago
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