All categories

3 years ago

Please help! functions operations. explain please

Mathematics

1 answer:

Lina20 [59]3 years ago

5 0

Answer:

$f^{-1}(x)=x^2-3$

Step-by-step explanation:

Given $f(x)=\sqrt{x+3}$

Let $y=\sqrt{x+3}$

Interchange x and y

$x=\sqrt{y+3}$

Solve for y, by first squaring both sides

$x^2=y+3$

$x^2-3=y$

Hence

$f^{-1}(x)=x^2-3$

The last choice is correct

You might be interested in

James surveyed people at school and asked whether they bring their lunch to school or buy their lunch at school more often. The

Brrunno [24]

Answer:

The correct option is 4.

Step-by-step explanation:

Given information:

Bring lunch : 46 males, 254 females

Buy lunch : 176 males, 264 females

Total number of peoples is

$46+254+176+264=740$

Total number of males is

$46+176=222$

The probability of male is

$P(Male)=\frac{Males}{Total}=\frac{222}{740} =0.3$

Since probability of males is 0.3, therefore options A and C are incorrect.

Total number of persons who buys lunch is

$176+264=440$

The probability of persons who buys lunch is

$P(\text{Buys lunch})=\frac{\text{Buys lunch}}{Total}=\frac{440}{740} =\frac{22}{37}$

We need to find the probability of P(male | buys lunch).

According to the conditional probability, we get

$P(\frac{A}{B})=\frac{P(A\cap B)}{P(B)}$

P(male | buys lunch) $=\frac{P(\text{male }\cap \text{ buys lunch})}{P(\text{buys lunch})}$

P(male | buys lunch) $=\frac{\frac{176}{740}}{\frac{22}{37}}$

P(male | buys lunch) $=\frac{2}{5}=0.4$

Therefore the correct option is 4.

8 0

3 years ago

Read 2 more answers

Enter an equation to represent the amount of moneys, in dollars, in Jack's account after w weeks, in simplest terms.

BigorU [14]

A = account
M = money
w = weeks

A = Mw

Hope this helps! Any questions let me know :)

6 0

2 years ago

HELP EASY IF YOU KNOW SPANISH

pashok25 [27]

Answer:

14 is "Yo tengo"

15 is Qué tienes en tu mochila?

5 0

3 years ago

A student took a system of equations, multiplied the first equation by and the second equation by , then added the results toget

Ierofanga [76]

Answer:

option A

-2x + 4y = 4

-3x + 6y = 6

Step-by-step explanation:

In option A, if the student multiply the first equation by 3 and the second equation by -2, then the equations become

-6x+12y = 12 and

6x-12y =-12

If she adds both equations, she will get 0 = 0

This means that the system has infinite number of solutions.

Hence, the student could have started with equations -2x + 4y = 4 and -3x + 6y = 6.

3 0

3 years ago

Tripp has $4.30 in his pocket made up of 26 coins consisting of quarters and nickels. How many of each type of coin does he have

ycow [4]

16 quarters and 10 nickels.

16 quarters are worth 4.00 and 10 Nickels are worth .30

7 0

3 years ago

Read 2 more answers