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gayaneshka [121]
3 years ago
8

A company charges a flat fee of 1500 dollars to rent a yacht in addition renters must pay 100 dollars per hour

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
5 0

Answer:

y= 1500+100x

Step-by-step explanation:

Given data

Flat fee= $1500

additional fee= $100 per hour

let the number of hours be x

Hence the total charges for x hours y is given as

y= 1500+100x

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Answer:

(f\circ g)(x)=\frac{1}{x^{2}}+\frac{8}{x}+12

Step-by-step explanation:

Given that f (x) = x^{2}+6x+5 and g(x)=\frac{1}{x}+1 are the functions.

To find (f\circ g)(x) with the given two functions. ie., to find the composite function of f(x) and g(x) which is denoted by (f\circ g)(x)

(f\circ g)(x)=f(g(x))

                 =f(\frac{1}{x}+1)

                  =({\frac{1}{x}+1})^{2}+6\times ({\frac{1}{x}+1})+5

                   =\frac{1}{x^{2}}+\frac{2}{x}+1+\frac{6}{x}+6+5

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Therefore (f\circ g)(x)=\frac{1}{x^{2}}+\frac{8}{x}+12

Therefore the composite function of f(x) and g(x) is  (f\circ g)(x)=\frac{1}{x^{2}}+\frac{8}{x}+12

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