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2 years ago

If G-1(x) is the inverse of G(x), what is the value of G-^1(G(x))?

Mathematics

2 answers:

vlada-n [284]2 years ago

8 0

Answer:

Step-by-step explanation:

If you multiply a function and its inverse, you will will always get x back.

f-1( f(x) ) = x

kodGreya [7K]2 years ago

6 0

Answer:

the value of G^-1(G(x)) is x

Step-by-step explanation:

We define G^-1(x) as the inverse of G(x), when we talk about functions inverse does not work like with the numbers, this means that G^-1(x) is not equal to 1/G(x).

Inverse means that if:

G(x) = y

then:

G^-1(y) = x

then if we have:

G^-1(G(x)) = G^-1(y) = x

so when we evaluate a given function in its inverse, the result is the input of the function.

And is the same in the case:

G(G^-1(x)) = x

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Joe has collections of 35 DVD movies. He received eight of them as gifts. Jobot the rest of his movies over three years. If he b

Yuliya22 [10]

Hello!

Let's subtract the eight DVDs Joe received as gifts, because he didn't buy them on his own.

35 - 8 = 27

Now, divide the remaining CDs by the 3 years he collected his DVDs in.

27 ÷ 3 = 9

A N S W E R:

Joe bought 9 DVDs last year.

Good day!

8 0

2 years ago

13x=-21-6y and -8x=36+6y

IgorLugansk [536]

Answer:

$x=3\\y=-10$

Step-by-step explanation:

$13x=-21-6y\\-8x=36+6y$

Let's take one of the equations and solve for x. I'll take the first one.

$13x=-21-6y$

Divide by 13.

$x=\frac{-21-6y}{13}$

Now replace x in the second equation.

$-8x=36+6y\\-8(\frac{-21-6y}{13} )=36+6y$

Distribute -8

$\frac{168+48y}{13}=36+6y$

Break down the fraction.

$\frac{168}{13}+\frac{48}{13}y=36+6y$

Subtract $\frac{168}{13}$

$\frac{48}{13}y=36+6y-\frac{168}{13}$

Subtract 6y

$\frac{48}{13}y-6y=36-\frac{168}{13}$

Combine like terms;

$\frac{48-13*6}{13}y=\frac{36*13-168}{13}$

Solve;

$\frac{48-78}{13}y=\frac{468-168}{13}$

Keep solving;

$\frac{-30}{13}y=\frac{300}{13}$

Multiply by the negative reciprocal of the fraction next to y.

$(-\frac{13}{30} )\frac{-30}{13}y=\frac{300}{13}(-\frac{13}{30} )$

On the right side; 13 and 13 become 1. 300/30 = 30/3 = 10

$y=-10$

After having found y, replace it in any of the equations to find x.

$13x=-21-6y\\13x=-21-6(-10)\\13x=-21+60\\13x=39\\x=\frac{39}{13}\\ x=3$

6 0

2 years ago

Read 2 more answers

What is the equation of the line that passes through the point (-8,5) and has a slope of -1/4

tresset_1 [31]

Answer:

$y=\frac{-1}{4} x+3\\$

Step-by-step explanation:

$(y-5)=\frac{-1}{4} (x--8)\\(y-5)=\frac{-1}{4} (x+8)\\y=\frac{-1}{4} x-\frac{8}{4}+5 \\y=\frac{-1}{4} x-2+5\\y=\frac{-1}{4} x+3\\$

5 0

2 years ago

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Eric throws a biased coin 10 times. He gets 3 tails. Sue throw the same coin 50 times. She gets 20 tails. Aadi is going to throw

iren2701 [21]

Answer:

(1) The correct option is (A).

(2) The probability that Aadi will get Tails is $\frac{2}{5}$ .

Step-by-step explanation:

It is provided that:

Eric throws a biased coin 10 times. He gets 3 tails.
Sue throw the same coin 50 times. She gets 20 tails.

The probability of tail in both cases is:

$P(\text{Tail})=\frac{3}{10}$
$P(\text{Tail})=\frac{20}{50}=\frac{2}{5}$

(1)

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

In this case we need to compute the proportion of tails.

Then according to the Central limit theorem, Sue's estimate is best because she throws it <em>n = </em>50 > 30 times.

Thus, the correct option is (A).

(2)

As explained in the first part that Sue's estimate is best for getting a tail, the probability that Aadi will get Tails when he tosses the coin once is:

$P(\text{Tail})=\frac{20}{50}=\frac{2}{5}$

Thus, the probability that Aadi will get Tails is $\frac{2}{5}$ .

7 0

2 years ago

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PLEASE HELP ME!!! ON THE FIRST QUESTION!

MrMuchimi

Answer:

9ber

Step-by-step explanation:

Aight will do

5 0

2 years ago

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