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likoan [24]
3 years ago
11

The function f(x) = ln(x) has a domain of all real numbers greater than zero and a range of all real numbers. The inverse of thi

s function is f–1(x) = ex. Which conclusion can be drawn by comparing the two functions?

Mathematics
2 answers:
Eddi Din [679]3 years ago
8 0

Answer:

The domain of f–1(x) is all real numbers and the range is all real numbers greater than 0.

Step-by-step explanation:

V125BC [204]3 years ago
7 0

Answer: C

The domain of f–1(x) is all real numbers and the range is all real numbers greater than 0.

Step-by-step explanation:

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Which is the correct label of the line?<br> D<br> a<br> С
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Would it be c and d cause a is not the the line ?
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2 years ago
Divide $960 into a ratio of 3:5 using the unitary method.
Bad White [126]

Answer:

$360 : $600

Step-by-step explanation:

If I'm understanding the problem right, you're looking for this to be put into a 3:5 ratio.

When doing problems like these, I'll add the two numbers in the ratio together, then divide the number (in this case 960) by the sum of the ratios, which in this case is 8.

From there you'd divide 960/8, which is 120. Based on that, you can assume 120 is equal to "1" in the ratio. Then multiply the base unit 1 by each one of the ratios.

120 x 3 = 360

120 x 5 = 600

The ratio will look like this: 360:600

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7 0
3 years ago
Read 2 more answers
5. The shape of a dome can be modeled by the equation h = - 2 d 2 + 100 where h is the height (in feet) of the dome from the flo
klasskru [66]

Answer:

5. When the dome is 50 feet high, the distance from the center is 5 feet

6. The equation that model the price y of an x-mile long ride is given as follows;

y = 0.1×x + $3.00

7. The discriminant is < 0; The equation has no real root

8. f(3) = 68

9. The equation representing the translation of the line f(x) = 7·x + 3 down 4 units is f(x) = 7·x + 7

Step-by-step explanation:

5. The given equation for the shape of the dome is presented as follows;

h = -2·d² + 100

Where;

h = The height of the dome (in feet)

d = The distance from the center

Therefore, we have;

When h = 50, d is found as follows;

h = -2·d² + 100

50 = -2·d² + 100

50 - 100 = -2·d²

-50 = -2·d²

∴ 2·d² = 50

d² = 50/2 = 25

d = √25 = 5 feet

Therefore when the dome is 50 feet high, the distance from the center is 5 feet

6. The given rate the cab charges per mile, x = $0.10

The rate the cab charges as flat fee = $3.00

Therefore, the price, y a person traveling by cab for x miles is given by the straight lie equation as y = m·x + c,

Where;

m = the slope or rate which in this case = $0.1/hour

c = A constant term which in this case = $3.00

Therefore

y = 0.1×x + $3.00

The equation that model the price y of an x-mile long ride is y = 0.1×x + $3.00

7. The discriminant, b² - 4·a·c  of the quadratic equation is (-4)² - 4×3×6 = -56

which is < 0, the equation has no real root

8. Given f(x) = 7·x² + 5

f(3) = 7 × (3)² + 5 = 68

f(3) = 68

9. The equation representing the translation of the line f(x) = 7·x + 3 down 4 units is given as follows;

Down 4 units is equivalent to subtracting 4 from the y-coordinate value, therefore, we have;

f(x) - 4= 7·x + 3

f(x) = 7·x + 3 + 4

f(x) = 7·x + 7

The equation representing the translation of the line f(x) = 7·x + 3 down 4 units is f(x) = 7·x + 7

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3 years ago
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8_murik_8 [283]
Answer: 15 seconds; the number of seconds it took the ball to hit the ground.
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3 years ago
Which phrase represents the meaning of the symbol ?
NeTakaya

Answer:

C. Greater than.

Step-by-step explanation:

5 0
3 years ago
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