A ladder 9m long reaches a point 9m below the top of a vertical flagstaff. From the

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

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Help I don't understand,

antoniya [11.8K]

In the drawing the base picture shows two squares on next to each other

The side picture shows three squares, one next to other and one above the square that right most.

The front picture shows two one square above other square.

The three dimensional figure that corresponds to those three view is a set of three boxes two in the base and one above one of the boxes of the base.

5 0

3 years ago

The are of a rectangular community the graden is 300 square feet. The length of a rectangular graden is three times its width. F

Keith_Richards [23]

Answer:

length: 30 ft
width: 10 ft

Step-by-step explanation:

The description of the garden fits that of 3 squares arranged side-by-side. The area of each of those would be 100 ft², so their side length would be ...

s = √A= √(100 ft²) = 10 ft

This dimension is the width of the garden, whose length is 3 times this amount.

The length and width of the garden are 30 ft and 10 ft, respectively.

3 0

3 years ago

A ticket to a concert costs $27.That is 3 times as much as a ticket to a movie.

anyanavicka [17]

Answer:

$9.00

Step-by-step explanation:

27 divided by 3 = 9

6 0

2 years ago

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Can somebody tell me how too simplify this expression 3(5*+2)

Pie

Answer:

15+6

Step-by-step explanation:

You would need to multiply 3*5 then 3*2 and then put 15+6

6 0

2 years ago

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