Ask question

Ask question

All categories

1 year ago

13

Select the correct answer. What is the range of the function f(x) = -4\x+ 11 - 5? A. (-4,-5) B. [-5,-) OC. (-4,-) OD. (-2,-4] Re

set Next 2021 Edmentum. All rights reserved. Search

1 answer:

Y_Kistochka [10]1 year ago

3 0

We are given the following function:

$f(x)=-4\lvert x+1\rvert-5$

This function is equivalent to the function:

$g(x)=-4\lvert x+1\rvert$

Together with a translation 5 units in the negative direction of the "x" axis. Since the range of g(x) is all the values of "y" that are smaller or equal to zero, if we translate 5 units in the negative direction of the y-axis the range is:

$R(f(x))=\mleft\lbrace y\parallel y\mright?\le5\rbrace$

or in interval notation:

$R(f(x))=(-\infty,-5\rbrack$

You might be interested in

3. Find the balance of a savings account at the end of 15 years if the interest

mr Goodwill [35]

Answer:

The balance of the savings account in 15 years will be $1,750.24.

8 0

3 years ago

A second bag of 40 marbles contains 11 red marbles, 9 blue marbles and 20 green marbles.

Goryan [66]

Answer:

Where is the first bag? We cant solve the question without knowing the marbles in the first bag

8 0

3 years ago

Read 2 more answers

River C is 400 miles longer than River D. If the sum of their lengths is 5 comma 520 miles, what is the length of each river?

Viefleur [7K]

If the sum of their lengths is 5,520 miles then River D is 2360 and River C is 3160

4 0

3 years ago

For which function is f(x) equal to f^1(x) ( answer choices in picture )

Sonja [21]

Answer:

C. $f(x)=\frac{x+1}{x-1}$

Step-by-step explanation:

Let's find the inverse of each of the given options.

Option A:

$f(x)=\frac{x+6}{x-6}\\y=\frac{x+6}{x-6}$

To find $f^{-1}(x)$ , replace 'x' with 'y' and 'y' with 'x'. This gives,

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

Rewrite in terms of 'y'. This gives,

$x(y-6)=y+6\\xy-6x=y+6\\xy-y=6x+6\\y=\frac{6x+6}{x-1}$

The given function $y=\frac{6x+6}{x-1}\ne y=\frac{x+6}{x-6}$

So, option A is incorrect.

Option B:

$f(x)=\frac{x+2}{x-2}\\y=\frac{x+2}{x-2}$

To find $f^{-1}(x)$ , replace 'x' with 'y' and 'y' with 'x'. This gives,

$x=\frac{y+2}{y-2}$

Rewrite in terms of 'y'. This gives,

$x(y-2)=y+2\\xy-2x=y+2\\xy-y=2x+2\\y=\frac{2x+2}{x-1}$

The given function $y=\frac{2x+2}{x-1}\ne y=\frac{x+2}{x-2}$

So, option B is incorrect.

Option C:

$f(x)=\frac{x+1}{x-1}\\y=\frac{x+1}{x-1}$

To find $f^{-1}(x)$ , replace 'x' with 'y' and 'y' with 'x'. This gives,

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

Rewrite in terms of 'y'. This gives,

$x(y-1)=y+1\\xy-x=y+1\\xy-y=x+1\\y=\frac{x+1}{x-1}$

The given function $y=\frac{x+1}{x-1}\ equals\ y=\frac{x+1}{x-1}$

So, option C is correct.

Option D:

$f(x)=\frac{x+5}{x-5}\\y=\frac{x+5}{x-5}$

To find $f^{-1}(x)$ , replace 'x' with 'y' and 'y' with 'x'. This gives,

$x=\frac{y+5}{y-5}$

Rewrite in terms of 'y'. This gives,

$x(y-5)=y+5\\xy-5x=y+5\\xy-y=5x+5\\y=\frac{5x+5}{x-1}$

The given function $y=\frac{5x+5}{x-1}\ne y=\frac{x+6}{x-6}$

So, option D is incorrect.

Therefore, only option C is correct.

7 0

3 years ago

I have no idea how to do this.

Viktor [21]

A) the perimeter of a triangle is the bottom plus the left slanty side plus the right slanty side, but you need the bottom in ft so that would be 6 ft. the perimeter is 13 ft

b) 1 yard

5 0

3 years ago

Read 2 more answers