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Nookie1986 [14]
3 years ago
13

If f(x)=x sqrt -25 and g(x)=x-5, what is the domain of (f/g)(x)?

Mathematics
2 answers:
givi [52]3 years ago
4 0

Answer:

<h2>R-{5}</h2>

Step-by-step explanation:

f(x)=x²-25=(x-5)(x+5)

g(x)=x-5

(f/g)(x)=<em>(x-5)</em>(x+5)/<em>(x-5)</em>=x+5;   for x≠5

D=R-{5}

Ganezh [65]3 years ago
4 0
The correct answer is D=-{R}
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Answer:

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Step-by-step explanation:

Given

Sam                         Tim

х  --- f(x) ---------------  g(x)

1  --- 80   --------------- 100

2  --- 110  --------------- 120

3  --- 140 --------------- 140

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Required

Determine the y value

y value implies the equation of the table

Calculating the equation of Sam

First, we need to take any corresponding values of x and y

(x_1,y_1) = (1,80)

(x_2,y_2) = (4,170)

Next, we calculate the slope (m)

m = \frac{y_2 - y_1}{x_2 - x_1}

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Next, we calculate the line equation using:

y - y_1=m(x-x_1)

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y - 80 = 30x - 30

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First, we need to take any corresponding values of x and y

(x_1,y_1) = (1,100)

(x_2,y_2) = (4,160)

Next, we calculate the slope (m)

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{160 - 100}{4 - 1}

m = \frac{60}{3}

m = 20

Next, we calculate the line equation using:

y - y_1=m(x-x_1)

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y - 100 = 20x - 20

Make y the subject

y = 20x - 20+100

y = 20x +80

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