4) Use the distance formula to find the length of segment BC.

Mathematics

1 answer:

gogolik [260]3 years ago

8 0

Answer:

Step-by-step explanation:

d= √(5-1)^2+(1-4)^2

d= √4^2+(-3)^2

d= √16+9

d=√25

d=5

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If h(x)=(fog)(x) and h(x) = sqrt x+5, find g(x) if f(x) = sqrtx+2

Katen [24]

Answer: The value of g(x) is x+3.

Step-by-step explanation:

Since we have given that

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

Here,

$h(x)=\sqrt{x+5}\\\\and\\\\f(x)=\sqrt{x+2}$

We need to find the value of g(x):

$f(x)=\sqrt{x+2}\\\\f(g(x))=\sqrt{g(x)+2}\\\\h(x)=\sqrt{g(x)+2}\\\\\sqrt{x+5}=\sqrt{g(x)+2}\\\\x+5=g(x)+2\\\\g(x)=x+5-2=x+3$

Hence, the value of g(x) is x+3.

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3 years ago

If f(x)=X-3/x and g(x) = 5x – 4, what is the domain of (fog)(x)?<br><br><br> NEED HELP FAST!!

dedylja [7]

Answer:

Step-by-step explanation:

This is function composition. We will take the g function and plug it into the f function wherever we see an x. That will look like this when it's done but before it's simplified:

$f(g(x))=\frac{5x-4-3}{5x-4}$ and that can be simplified down to

$f(g(x))=\frac{5x-7}{5x-4}$

The domain of this function will be all real numbers EXCEPT for the one(s) that cause the denominator to become undefined. Set the denominator equal to 0 and solve for x:

5x - 4 = 0 so

5x = 4 and

x = 4/5

In other words, D = {x | x ≠ 4/5}

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3 years ago

I will give the brainiest

adell [148]

Answer:

first one

Step-by-step explanation:

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