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2 years ago

If it is known that x+y/y =3, find the value of the following expression:

Mathematics

1 answer:

Alexeev081 [22]2 years ago

3 0

Answer:

x-y/y

Step-by-step explanation:

Im not 100% sure but im sorry if wrong

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Which pair of funtions is not a pair of inverse functions? please help!!

antiseptic1488 [7]

Answer:

$f(x)=\frac{x}{x+20} , g(x)=\frac{20x}{x-1}$

Step-by-step explanation:

we know that

To find the inverse of a function, exchange variables x for y and y for x. Then clear the y-variable to get the inverse function.

we will proceed to verify each case to determine the solution of the problem

case A) $f(x)=\frac{x+1}{6} , g(x)=6x-1$

Find the inverse of f(x)

Let

y=f(x)

Exchange variables x for y and y for x

$x=\frac{y+1}{6}$

Isolate the variable y

$6x=y+1$

$y=6x-1$

Let

$f^{-1}(x)=y$

$f^{-1}(x)=6x-1$

therefore

f(x) and g(x) are inverse functions

case B) $f(x)=\frac{x-4}{19} , g(x)=19x+4$

Find the inverse of f(x)

Let

y=f(x)

Exchange variables x for y and y for x

$x=\frac{y-4}{19}$

Isolate the variable y

$19x=y-4$

$y=19x+4$

Let

$f^{-1}(x)=y$

$f^{-1}(x)=19x+4$

therefore

f(x) and g(x) are inverse functions

case C) $f(x)=x^{5}, g(x)=\sqrt[5]{x}$

Find the inverse of f(x)

Let

y=f(x)

Exchange variables x for y and y for x

$x=y^{5}$

Isolate the variable y

fifth root both members

$y=\sqrt[5]{x}$

Let

$f^{-1}(x)=y$

$f^{-1}(x)=\sqrt[5]{x}$

therefore

f(x) and g(x) are inverse functions

case D) $f(x)=\frac{x}{x+20} , g(x)=\frac{20x}{x-1}$

Find the inverse of f(x)

Let

y=f(x)

Exchange variables x for y and y for x

$x=\frac{y}{y+20}$

Isolate the variable y

$x(y+20)=y$

$xy+20x=y$

$y-xy=20x$

$y(1-x)=20x$

$y=20x/(1-x)$

Let

$f^{-1}(x)=y$

$f^{-1}(x)=20x/(1-x)$

$\frac{20x}{1-x}\neq \frac{20x}{x-1}$

therefore

f(x) and g(x) is not a pair of inverse functions

7 0

2 years ago

Read 2 more answers

I don't understand :/

makkiz [27]

Answer:

The frequency is relatable

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

The ratio of Mike buying fish to Millie buying fish was 8 to 2. If in total they bought 150 pounds of fish. How many pounds did

Lady bird [3.3K]

Answer: Mike bought 120 pounds of fish and Millie bought 30 pounds of fish.

Step-by-step explanation:

If the ratio is 8 to 2 then 8/10 will be the probability of Mike buying fist and 2/10 will be the probability of Millie buying fish.

Now multiply each fraction by the total number of pounds to find how many pounds each bought.

8/10 * 150 = 1200/10 = 120

2/10 * 150 = 300/10 = 30

In this case, Mike bought 120 pounds of fish and Millie bought 30 pounds of fish.

8 0

3 years ago

I need help please only help if you know the answer

vlada-n [284]

Answer:

Step-by-step explanation:

3 0

2 years ago

The perimeter of a rectangular playgroundis 46m. If the length of the park is 7m, what is the width of the park ?

Vikki [24]

Answer:

Step-by-step explanation:

7m + 7m = 14m

46m - 14m = 32m

4 0

2 years ago