All categories

3 years ago

What would the domain of this be in interval notation?

Mathematics

1 answer:

Pavel [41]3 years ago

5 0

Answer:

Domain: [2, ∞)

Step-by-step explanation:

Domain is the set of x-values that can be inputted into function f(x).

We see that we cannot take the 4th root of a negative number, so under the square root, the entire thing can't be negative. This means that the x-value cannot be lower than 2, but can be 2 itself:

[2, ∞)

You might be interested in

Lilliana is training for a marathon. She runs the same distance every day for a week. On Monday, Wednesday, and Friday, she runs

iren2701 [21]

Answer:

Letting L = distance per lap

4L + 8 = 6L + 4

2L = 4

L = 2 miles

She runs 16 miles each day

2 miles per Lap = 8 Laps on Saturday

Step-by-step explanation:

3 0

2 years ago

Which of the following is the value of f(-4) in the function f(x) = -2x - 3? no links

Scilla [17]

Answer:

Step-by-step explanation:

f(-4)= -2(-4)-3

=8-3

8 0

3 years ago

Please plot this linear equation on a graph, and also explain how to plot it. <img src="https://tex.z-dn.net/?f=y%3D3x-7" i

olasank [31]

Answer:

See below:

Step-by-step explanation:

Hello! I hope you are having a nice day.

We can solve this equation in a single step, we just need a bit of theory and a graph.

We can first see that its in $y=mx+b$ form. Which is also known as Slope-Intercept form.

This means that we know the following.

$b$ is the y coordinate of the y intercept.
$m$ is the slope of the line.

Since we know that, we can see that from our equation that the slope of the line is 3 and the y intercept is (0,-7).

Now that we've gotten that, we can start graphing.

The y intercept is -7 so we can plot (0,-7) as one of our points.

The slope of 3 means that we got up 3 units then right a single unit.

Therefore, another point could be (1,-4).

With our two points, we can create our graph by creating a straight line through those two points and therefore plotting our line.

Cheers!

6 0

2 years ago

Read 2 more answers

I do no understand this

vovangra [49]

The equation of a line for the given slope is $y=\frac{1}{2} x+1$ .

Solution:

Given data:

Slope (m) = $\frac{1}{2}$

Point = (–2, 0)

$x_1=-2, y_1=0$

To find the equation of the given line in the point-slope form:

Point-slope formula:

$y-y_1=m(x-x_1)$

Substitute the given values in the formula.

$$y-0=\frac{1}{2} (x-(-2))$

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

$$y=\frac{1}{2} x+\frac{2}{2}$

$$y=\frac{1}{2} x+1$

The equation of a line for the given slope is $y=\frac{1}{2} x+1$ .

5 0

3 years ago

Which of these statements us true for f(x)=3•(9)^x

rodikova [14]

Answer:

Step-by-step explanation:

The y-intercept is at x=0, y=3.

5 0

3 years ago