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3 years ago

Question 9 (5 points)

Mathematics

1 answer:

ElenaW [278]3 years ago

8 0

Answer:

The Answer is $4 or option (A)

Step-by-step explanation:

I took the test :)

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Choose the domain for which each function is defined

klemol [59]

Answer:

Part 1) $f(x)=\frac{x+4}{x}$ -----> $x\neq 0$

Part 2) $f(x)=\frac{x}{x+4}$ ----> $x\neq -4$

Part 3) $f(x)=x(x+4)$ ----> All real numbers

Part 4) $f(x)=\frac{4}{x^2+8x+16}$ ----> $x\neq -4$

Step-by-step explanation:

we know that

The domain of a function is the set of all possible values of x

Part 1) we have

$f(x)=\frac{x+4}{x}$

we know that

In a quotient the denominator cannot be equal to zero

For the value of x=0 the function is not defined

therefore

The domain is

$x\neq 0$

Part 2) we have

$f(x)=\frac{x}{x+4}$

we know that

In a quotient the denominator cannot be equal to zero

For the value of x=-4 the function is not defined

therefore

The domain is

$x\neq -4$

Part 3) we have

$f(x)=x(x+4)$

Applying the distributive property

$f*(x)=x^2+4x$

This is a vertical parabola open upward

The function is defined by all the values of x

therefore

The domain is all real numbers

Part 4) we have

$f(x)=\frac{4}{x^2+8x+16}$

we know that

In a quotient the denominator cannot be equal to zero

Equate the denominator to zero

$x^2+8x+16=0$

Remember that

$x^2+8x+16=(x+4)^2$

( $x+4)^2=0$

The solution is x=-4

For the value of x=-4 the function is not defined

therefore

The domain is

$x\neq -4$

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If you drive 9hours and 465 kilometers how long would it take you to drive 768 kilometers

romanna [79]

I think it would be 13 hours possibly

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Solve for x: |x|-8=-5

xxMikexx [17]

x*-8 would be -8x

then you would divide -8 by both sides

should get a decimal as your answer I believe

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Positive numbers are located to the right of zero on the number line.<br><br><br> True False

Trava [24]

$\text {Hi!}$

$\text {The Answer to this Problem Is:}$

$\fbox {True!}$

$\text {When we look at a number line with positive and negative numbers we see}$ $\text {that positives are to the right and negatives are to the left.}$

$\text {As you can see the number line on the image that all}$ $\text {the negative numbers are to the left and positive numbers are to the right.}$

$\text {\underline {Remember}}$

$\text {Positive to the Right.}$

$\text {Negative to the Left.}$

$\text {Best of Luck!}$

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Suppose two angles of one triangle are congruent to two angles of another triangle. Using

Blababa [14]

Answer:

عربيععربيعربيع ربيعربيعربيعربي

Step-by-step explanation:

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