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Nitella [24]
3 years ago
12

What is the inverse one to one function of f(x) = square root of x-2???

Mathematics
1 answer:
alexira [117]3 years ago
6 0
f(x) = \sqrt{x - 2} \\y = \sqrt{x - 2} \\y^{2} = (\sqrt{x - 2})^{2} \\y^{2} = x - 2 \\x^{2} = y - 2 \\x^{2} + 2 = y \\x^{2} + 2 = f^{-1}(x)
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Please answer the circled questions below!
Anton [14]

Answer:

Step-by-step explanation:

1. The y-values in the table are constant, so the slope is 0. It is a horizontal line.

There is no x-intercept.

The y-intercept is (0, 1).

__

For lines in standard form, the intercepts can be found easily. The x-intercept is the value of x when y=0:

  ax +0 = c

  x = c/a . . . . x-intercept

Similarly, the y-intercept is the value of y when x=0:

  0 +by = c

  y = c/b

__

3. x-intercept = (-20/2, 0) = (-10, 0)

  y-intercept = (0, -20/-5) = (0, 4)

__

4. x-intercept = (-6/1, 0) = (-6, 0)

  y-intercept = (0, -6/-3) = (0, 2)

Plot these points and draw a line through them.

8 0
3 years ago
Smallest to largest 1.306 1.36 1.06 1.031
Readme [11.4K]
1.06, 1.031, 1.36, 1.306
7 0
3 years ago
Read 2 more answers
How many fourths are equivalent to 2\8
sdas [7]

Answer:

1/4

Step-by-step explanation:

8/8=1

6/8=3/4

4/8=2/4

2/8=1/4

3 0
2 years ago
Read 2 more answers
If RV=w and SU=w–30, what is the value of w?
DIA [1.3K]

Answer:

w = 60

Step-by-step explanation:

the midsegment SU is half the measure of side RV, then

SU =  RV , so

w - 30 =  w ( multiply through by 2 to clear the fraction )

2w - 60 = w ( subtract w from both sides )

w - 60 = 0 ( add 60 to both sides )

w = 60

5 0
2 years ago
If it takes you 40 minutes to go 20 miles downstream and then 60 minutes on the way back, what is the speed of the current?
IrinaK [193]

Answer:

Speed of Current = 5 miles per hour

Step-by-step explanation:

We know distance formula,

D = RT

Where

D is distance

R is rate

T is time

If we let speed of boat (assume) to be "x" and speed of current to be "c"

Then downstream rate is (with current) = x + c

Upstream rate is (against current) = x - c

40 mins to go 20 miles downstream, that means:

D = RT

20 = (x + c)(40)

and

60 minutes to go upstream, 20 miles, that means:

D = RT

20 = (x - c)(60)

Simplifying first equation:

40x + 40c = 20

Simplifying second equation:

60x - 60c = 20

Multiplying first equation by 60, we get:

60 * [40x + 40c = 20] = 2400x + 2400c = 1200

Multiplying second equation by 40, we get:

40 * [60x - 60c = 20] = 2400x - 2400c = 800

Now we add up both these equations:

2400x + 2400c = 1200

2400x - 2400c = 800

----------------------------------

4800x = 2000

x = 2000/4800 = 5/12

We need speed of current, that is "c", so we plug in the value of x into first equation and solve for c:

40x + 40c = 20\\40(\frac{5}{12}) + 40c = 20\\\frac{50}{3}+40c=20\\40c=20-\frac{50}{3}\\40c=\frac{10}{3}\\c=\frac{1}{12}

Speed of Current = 1/12 miles per minute

Since there is 60 minutes in an hours, that would be:

(1/12) * 60 = 5 miles per hour

Speed of Current = 5 miles per hour

3 0
3 years ago
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