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inysia [295]
3 years ago
8

Use the functions f(x) = 4x − 5 and g(x) = 3x + 9 to complete the function operations listed below.

Mathematics
1 answer:
JulijaS [17]3 years ago
6 0
A:

(f+g)(x)=f(x)+g(x)

(f+g)(x)=4x-5+3x+9

(f+g)(x)=7x+4

B:

(f•g)(x)=f(x)•g(x)

(f•g)(x)=(4x-5)(3x+9)

(f•g)(x)=12x^2-15x+36x-45

(f•g)(x)=12x^2+21x-45

C:

(f○g)(x)=f(g(x))

(f○g)(x)=4(3x+9)-5

(f○g)(x)=12x+36-5

(f○g)(x)=12x+31


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2 years ago
Alexander is a stockbroker. He earns 14% commission each week. Last​ week, he sold ​$5,400 worth of stocks. How much did he make
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Mr eliot is extremely careful with his money. He recently invested part of his $150,000 life savings in gold bullion and the res
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Step-by-step explanation:

Total amount of savings Me. Eliot ha s = $150,000

Let us assume the amount invested in gold bullion = $m

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So, the profit in gold bullion  =  0.05 m

and 3% on (150,000 -m)   = \frac{3}{100}  \times  (150,000 -m) = 0.03  (150,000 -m)

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or, 0.02 m = 1000

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Hence, the amount invested in gold bullion  =  m = $50,000

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