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jeka57 [31]
3 years ago
6

Find inverse of f(x) = 2 + 3x / x - 2

Mathematics
1 answer:
NeX [460]3 years ago
7 0
Okay so, we switch out f(x) with y - I’m sure you know this and we get y=2+3x/x-2.

Now just interchange x and y -> x=2+3y/y-2, now multiply both sides with (y-2), we get (y-2)x=2+3y.

Multiply x with the brackets, getting xy-2x=2+3y. Move 3y to the left changing it’s sign, also for -2x to the right: xy-3y=2+2x.

Factor out y from (xy-3y) and get (3-x)y=2+2x - now divide both sides by (3-x) resulting in y=2+2x/3-x .
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Please answer<br> i need this for my mathhhh
Rina8888 [55]

The two column proof for the given angle addition has been carried out below.

<h3>How to Carry out two column proof?</h3>

1) m∠CZE = m∠1 + m∠2

Reason: Angle Addition Property

2) m∠FXH = m∠3 + m∠4

Reason: Angle Addition Property

3) m∠CZE = m∠FXH

Reason: Given

4) m∠1 + m∠2 = m∠3 + m∠4

Reason: Substitution Property

5) m∠1 = m∠3

Reason: Subtraction Property

6) m∠3 + m∠2 = m∠3 + m∠4

Reason: Substitution Property

7) m∠2 = m∠4

Reason: Subtraction Property

Read more about Two Column Proof at; brainly.com/question/1788884

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7 0
2 years ago
Write a fraction to equivalent. 20/150 with the denominator 75​
Stella [2.4K]
The answer I got was 15/75
5 0
3 years ago
Read 2 more answers
Please please please help
Eduardwww [97]

Answer:

I. B. true

II. A true

Step-by-step explanation:

we can use the quadratic equation:

x=\frac{-b+-\sqrt{b^{2}-4*a*c}}{2*a}

we have:

1)x^{2} -4x+5

a=1 b=-4 c=5

x=\frac{-(-4)+-\sqrt{(-4)^{2}-4*1*5}}{2*1} \\\\x=\frac{4+-\sqrt{-4}}{2} \\\\x=\frac{4+-\sqrt{4} i}{2}\\\\x=\frac{4+-2i}{2} \\\\x_{1} =2-i\\\\x_{2} =2+i

the quadratic expression has two complex factors.

2)x^{2} -5x+14

a=1 b=-5 c=14

x=\frac{-(-5)+-\sqrt{(-5)^{2}-4*1*14}}{2*1} \\\\x=\frac{5+-\sqrt{-31}}{2} \\\\x=\frac{5+-\sqrt{31} i}{2}\\\\x_{1} =\frac{5-\sqrt{31}i }{2}\\ \\x_{2} =\frac{5+\sqrt{31}i }{2}

the solution of x^{2} -5x+14 are

x_{1} =\frac{5-\sqrt{31}i }{2}\\\\or\\x_{2} =\frac{5+\sqrt{31}i }{2}

3)2x^{2} -8x+5

a=2 b=-8 c=5

x=\frac{-(-8)+-\sqrt{(-8)^{2}-4*2*5}}{2*2} \\\\x=\frac{8+-\sqrt{24}}{4} \\\\x=\frac{8+-2\sqrt{6}}{4}\\\\x_{1} =2-\frac{\sqrt{6}}{2}\\ \\x_{2} =2+\frac{\sqrt{6}}{2}

7 0
3 years ago
Which statement accurately describes the data's form, direction, and strength from the scatterplot below?
barxatty [35]

Answer:

Form: Linear Direction: Positive Strength: Moderate

Step-by-step explanation:

The scatter plot for the Cost of Airplane Ticket versus the number of Miles Flown is attached below.

It can be easily seen that the plot is moving in an upward directions. An upward moving scatter plot represents a positive relationship between the two variables.

Similarly, the scatter plot here represents a positive relationship between cost of airplane ticket and the number of miles flown.

Now consider the points plotted on the graph.

If we form a line of best by joining any two points it can be seen that the rest of the points are close to this line but not very close.

Thus, implying that there is a moderately strong relationship between the two variables.

Thus, the statement accurately describing the data is:

Form: Linear Direction: Positive Strength: Moderate

3 0
3 years ago
Raul has a bottle of salad dressing. Is 700 milliliters or 7000 liters a more reasonable estimate for the capacity of the bottle
vfiekz [6]
700 mL, 7000 L is like a swimming pool. 1 Litre= 1000 Millilitres.
7 0
3 years ago
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