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Maurinko [17]
3 years ago
14

Given f(x)=1/x+5 and g(x)=x-2

Mathematics
1 answer:
vladimir1956 [14]3 years ago
3 0

For this case we have the following functions:

f (x) = \frac {1} {x + 5}\\g (x) = x-2

We must find f (g (x)). So:

f (g (x)) = \frac {1} {(x-2) +5} = \frac {1} {x-2 + 5} = \frac {1} {x + 3}

Finally we have to:

f (g (x)) = \frac {1} {x + 3}

For the function to be defined the denominator must be different from 0. That is x different from -3.

Answer:

Option B

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 Add '34x' to each side of the equation. 20 + -26x + 34x = 60 + -34x + 34x
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3 years ago
What is 32×5/6 in simplest form
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The study creates stress in a(0ne) way that might affect muscle cramps.

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7 0
2 years ago
I'll give brainliest to whoever answers first and is correct!!
Nina [5.8K]

Answer:

(a) y=8x+5

(b) 7 hours.

Step-by-step explanation:

(a) Let x be the number of hours and y is the total cost.

We have been given that Beatrice and her friends charge $8 per hour of babysitting, so the charges for x hours of babysitting will be 8x.

As they also charge a mandatory $5 per day fee for each child for snacks, so the total charges for babysit each day will be charges for x hours of babysitting plus mandatory charge.

We can represent this information in an equation as:

y=8x+5

Therefore, the equation y=8x+5 represents the total cost of using Beatrice’s babysitting service each day.

(b) To find the number of hours Beatrice babysit the daughter, we will substitute y = 61 in our equation and solve for x.

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Let us subtract 5 from both sides of our equation.

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Let us divide both sides of our equation by 8.

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Therefore, Beatrice babysit 7 hours the daughter.

Expression for part c is missing.

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