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Mrac [35]
3 years ago
8

[ Let f ( x ) ] = [ 3 x 2 + 2 x ] , [ g ( x ) ] = [ 3 x + 9 ] , [ h ( x ) ] = [ 12 + x ] , [ What is f ( g ( 3 ) ) ? ] [ Let f (

x ) ] = [ 3 x 2 + 2 x ] , [ g ( x ) ] = [ 3 x + 9 ] , [ h ( x ) ] = [ 12 + x ] , [ What is f ( g ( 3 ) ) ? ]
Mathematics
1 answer:
Pachacha [2.7K]3 years ago
8 0

Answer:

The value of f(g(3) =  1,008

Step-by-step explanation:

<u>Step:-1</u>

Given f(x) =3 x ^ 2 + 2 x

and g(x) = 3x+9

      h(x) = 12+x

Given g(x) = 3x+9

  put x =3

      g(3) = 3(3)+9

      <u>  g(3) = 18</u>

<u>Step :-(2)</u>

f(g(3)) = f(18)

f(g(3) = 3(18)^2 +2(18) (since f(x) =3 x ^ 2 + 2 x)

        = 1,008

<u>Final answer</u>:-

The value of f(g(3) =  1,008

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Please find attached the required graph for the temperature time relationship

Step-by-step explanation:

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At

Time                                            Temperature

6 a. m.                                            56° F

7 a. m.                                             59° F

8 a. m.                                             62° F

9 a. m.                                             66° F

10 a. m.                                           70° F

11 a. m.                                            74° F

12 p. m.                                           74°F

1 p. m.                                             74°F

2 p. m.                                            74°F

3 p. m.                                            74°F

4 p. m.                                            74°F

5 p. m.                                            74°F

6 p. m.                                            74°F

7 p. m.                                            71°F

8 p. m.                                            68°F

9 p. m.                                            65°F

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12 a. m.                                            61°F

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