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3 years ago

If f(x) = 2x+1/x-4, what is the value of f^-1 (3)?

1 answer:

7 0

=> y = (2x + 1) / (x - 4)
<span>=> xy - 4y = 2x + 1 </span>
<span>=> xy - 2x = 4y + 1 </span>
<span>=> x(y - 2) = 4y + 1 </span>
<span>=> x = (4y + 1) / (y - 2) </span>
<span>=> f-1(x) = (4x + 1) / (x - 2) </span>
<span>subtitute x = 3 </span>
<span>=> f-1(3) = 13</span>

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Which graph shows a linear function?

Stolb23 [73]

Answer:

Step-by-step explanation:

You have shared only one graph, that of a quadratic function with vertex at (0, 0) and an equation based upon y = ax^2, where a is a constant coefficient.

Please go back to the source of your question and describe the other graphs that were given to you.

The graph that shows a straight line is the linear function.

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3 years ago

Bo and Erica are yoga instructors. Between the two of them, they teach 45 yoga classes each week. If Erica teaches 15 fewer than

Solnce55 [7]

Answer:

20 and 25.

Step-by-step explanation:

Given:

They both teach total 45 yoga classes each week.

Erica teaches 15 fewer than twice as many as Bo.

To find:

How many classes does each instructor teach per week = ?

Solution:

Let number of classes are taken by Bo = $x$

Then number of classes are taken by Erica = $2x - 15$ (given)

Total number of classes are taken by both = 45 (given)

According to the question.

$x$ + $2x - 15$ = 45

$3x - 15 = 45$

By adding both side by 15

$3x = 60\\$

By dividing both side by 3

$x = 20$

number of classes are taken by Bo = $x$ = 20

number of classes are taken by Erica = $2x - 15$

= $2\times20 - 15 = 40- 15 = 25\\$

Therefore, number of classes are taken by Bo and Erica is 20 and 25.

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4 years ago

Find the coordinates of the missing endpoint if P is the midpoint of Line Segment NQ.

dimaraw [331]

Midpoint formula is $(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$ .

So starting with this one, we will be solving for the coordinates of the unknown endpoint separately. Starting with the x-coordinate, since we know that the midpoint x-coordinate is 5 and the x-coordinate of N is 2, our equation is set up as such: $\frac{x+2}{2}=5$ From here we can solve for the x-coordinate of Q.

Firstly, multiply both sides by 2: $x+2=10$

Next, subtract both sides by 2 and your x-coordinate is $x=8$

With finding the y-coordinate, it's a similar process as with the x-coordinate except that we are using the y-coordinates of the midpoint and endpoint N.

$\frac{y+0}{2}=2\\ y=4$