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3 years ago

Functions f(x) and g(x) are defined below. Determine where f(x) = g(x) by graphing.

Mathematics

1 answer:

Reika [66]3 years ago

8 0

Answer:

Option D. x = 4

Step-by-step explanation:

we have

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

$g(x)=2\sqrt{x-3}$

we know that

The solution of the system

f(x)=g(x)

is the x-coordinate of the intersection point both graphs

using a graphing tool

The intersection point is (4,2)

see the attached figure

therefore

The solution is x=4

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Rina draws a plan of her school on a coordinate grid. She plots the school gate at point p(-8,-1) and the library at point Q(2,5

natka813 [3]

Answer:

The coordinates of the science lab is:

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Step-by-step explanation:

∵ P is (-8 , -1) and Q is (2 , 5)

∵ The point of the science lab is (x , y)

∵ The science lab point divided PQ at ratio 2 : 1 from Q (two thirds PQ)

∴ $x=\frac{m_{1}x_{p}+m_{2}x_{q}}{m_{1}+m_{2}}$

∴ $y=\frac{m_{1}y_{p}+m_{2}y_{q}}{m_{1}+m_{2}}$

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2 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

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Answer:

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