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ozzi
2 years ago
15

Find the inverse function (on the given interval, if specified)

Mathematics
1 answer:
Zinaida [17]2 years ago
5 0

Step-by-step explanation:

f(x) = x² + 1, where x >= 0.

Let y be f(x).

=> y = x² + 1

=> x² = y - 1

=> x = √(y - 1) because x is non-negative.

Hence f^-1(x) = √(x - 1), where x >= 1.

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19. Suppose the diameter of a circle is 10 inches long and a chord is 6 inches long, Find the distance between the chord and the
mihalych1998 [28]

Answer:

10 m

Step-by-step explanation:

x2 + 242 = 262

x2 + 576 = 676

x2 = 100

x = 10

The chord is 10 m from the center of the circle.

3 0
3 years ago
Charlie wants to know the length of Charlie wants to know the length of a tunnel built through a mountain. To do so, he makes th
nekit [7.7K]

Answer:To do so, she makes the measurements shown in the figure below.

Step-by-step explanation:

3 0
1 year ago
Arrange the steps to solve the equation square root x+3 - square root 2x-1=-2
stiv31 [10]

Answer:x=31.4919

Step-by-step explanation:

Step1:isolate a square root on the left hand side√x+3=√2x-1-2

Step2:eliminate the radicals on the left hand side

Raise both sides to the second power

√x+3)^2=(√2x-1-2)^2

After squaring

x+3=2x-1+4-4-4√2x-1

Step3:get the remaining radicals by itself

x+3=2x-1+4-4√2x-1

Isolate radical on the left hand side

4√2x-1=-x-3+2x-1+4

4√2x-1=x

Step4:eliminate the radicals on the left hand side

Raise both side to the second power

(4√2x-1)^2=x^2

After squaring

32x-16=x^2

Step 5:solve the quadratic equation

x^2-32x-16

This equation has two real roots

x1=32+√960/2=31.4919

x2=32-√960/2=0.5081

Step6:check that the first solution is correct

Put in 31.4919 for x

√31.4919+3=√2•31.4919-1-2

√34.492=5.873

x=31.4919

Step7:check that the second solution is correct

√x+3=√2x-1-2

Put in 0.5081 for x

√0.5081+3=√2•0.5081-1-2

√3.508=-1.873

1.873#-1.873

One solution was found

x=31.4919

6 0
3 years ago
Find a 4 digit odd number using each of the digit 1,2,3,4 and 5 only once such than when the first and the last digit are in int
Vesna [10]

Answer:

The possible numbers could be : 4521, 4125, and 2415

3 0
2 years ago
A recent study found a correlation between gum disease and heart disease. This result indicates that gum disease causes people t
Yuliya22 [10]

Answer:

False

Step-by-step explanation:

Correlation measures the strength of the relation between two variables.

Further, Correlation is said to be positive if increasing/decreasing the one variable, also increases/decreases the values of another variable.

Correlation is said to be negative if increasing/decreasing the one variable, also decreases/increases the values of another variable.

Since we don't know here exists a positive correlation or negative correlation.

So here are two possible conditions:

The person who has Gum disease also has heart disease.

And, the person has Gum disease can never have heart disease.

Thus, the given statement is false.

5 0
3 years ago
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