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mihalych1998 [28]
3 years ago
6

For f(x) = 5x and g(x)= x + 9, find

Mathematics
1 answer:
Bad White [126]3 years ago
5 0

Answer:

  • (fog)(x)  = 5x+45
  • (gof)(x)   = 5x+9
  • (fog)(3) = f(g(3)) = f(12) = 60    

Step-by-step explanation:

Given

  • f(x) = 5x
  • g(x) = x + 9

Finding (fog)(x)

(fog)(x)  = f(g(x))

(fog)(x)  = f(x+9)

(fog)(x)  = 5(x+9)             ∵ substitute x as x+9 in the f(x)

(fog)(x)  = 5x+45

Finding (gof)(x)

(gof)(x) = g(f(x))

(gof)(x)  = g(5x)

(gof)(x)   = 5x+9                 ∵ substitute x as 5x in the g(x)

Finding (fog)(3)

(fog)(3) = f(g(3))

substitute x = 3 in the g(x)=x+9

g(x) = x+9

g(3) = 3+9

g(3) = 12

so

(fog)(3) = f(g(3)) = f(12)

now substitute x = 12 in  f(x) = 5x

f(x) = 5x

f(12) = 5(12)

f(12) = 60

Thus,

(fog)(3) = f(g(3)) = f(12) = 60

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3 years ago
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in a given classroom the number of girls is 10 greater than number of boys if the ratio of the number of girls to the number of
Xelga [282]

Answer:

a) 35,  b) 25,  c) 60

Step-by-step explanation:

The number of girls is 10 more than the number of boys, so it's a good thing to choose a variable to represent the number of boys.

Number of boys:  b

Number of girls:  b + 10

Ratio of girls:boys is 7:5, so

\frac{b+10}{b}=\frac{7}{5}

"Cross multiply" to get

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Diano4ka-milaya [45]

A function assigns the values. The graph can be plotted as shown below.

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

Given the function, g(x) = -3(1/2)ˣ, therefore, the value of g(x) can be written as,

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g(-2) = -3(1/2)² = -0.75

g(-1) = -3(1/2)¹ = -1.5

g(0) = -3(1/2)⁰ = -3

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Learn more about Function:

brainly.com/question/5245372

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7 0
2 years ago
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1 = 51

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Step-by-step explanation:

1) 61+68= 129

180-129= 51

2) 61 is across it so they have the same number

3) 61 +90= 151

180-151= 29

6 0
3 years ago
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