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mojhsa [17]
3 years ago
13

Given f(x) = e^x and g(x) = x – 2, what is the range of (g*f)(x)

Mathematics
1 answer:
frutty [35]3 years ago
4 0

For this case we have the following functions:

f (x) = e ^ x\\g (x) = x-2

By definition we have to:

(f * g) (x) = f (x) * g (x)

Substituting:

(f * g) (x) = e ^ x (x-2)

The range of the function is given by all values of "and" valid. That is, all the real numbers.

ANswer:

(-∞,∞)

Graphic attached

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25 POINTS!!!!
seropon [69]

Answer:

1,080,000

Step-by-step explanation:

==> First divide 78 by 26

==> answer = 3

==> 135,000×2 = 270,000

==> 270,000 × 2 = 540,000

==> 540,000 × 2 = 1,080,000

==> 1,080,000

3 0
2 years ago
Read 2 more answers
In abc above,what is the length of ad​
Nezavi [6.7K]

Answer:

B

Step-by-step explanation:

First calculate BD using sine ratio in Δ BCD and the exact value

sin60° = \frac{\sqrt{3} }{2}, thus

sin60° = \frac{opposite}{hypotenuse} = \frac{BD}{BC} = \frac{BD}{12} = \frac{\sqrt{3} }{2} ( cross- multiply )

2BD = 12\sqrt{3} ( divide both sides by 2 )

BD = 6\sqrt{3}

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

Calculate AD using the tangent ratio in Δ ABD and the exact value

tan30° = \frac{1}{\sqrt{3} } , thus

tan30° = \frac{opposite}{adjacent} = \frac{AD}{BD} = \frac{AD}{6\sqrt{3} } = \frac{1}{\sqrt{3} } ( cross- multiply )

\sqrt{3} AD = 6\sqrt{3} ( divide both sides by \sqrt{3} )

AD = 6 → B

4 0
3 years ago
Anyone know the answer to this
Vesna [10]

Answer:

Part A:

- angle ACB= 60° (ABC equilateral triangle.)

- Angle ECD=EDC= (180°-32°)/2= 148/2= 74° (sum of angles in a triangle is equal to 180, and triangle ECD is isosceles since it's given that CE=DE.

- x= 180°-(60°+74°)

   = 180°-134°

   = 46°

x= 46°

Part B:

120°

3 0
2 years ago
Find the area of a triangle that has a base of 16 inches and a height of 5 inches.
sertanlavr [38]
You’d do 16x5 and that would give you 80in^2 your welcome! Hope this helps!
6 0
3 years ago
Which events have a probability of 25 percent? Select three options.
Aneli [31]

Answer:

choosing a green jelly bean out of a bag that contains 2 green jelly beans, 1 red jelly bean, and 5 yellow jelly beans

spinning a number less than 2 on a spinner that has four equal sections numbered from 1 to 4

choosing a spade out of a standard deck of cards that contains 13 hearts, 13 clubs, 13 diamonds, and 13 spades

Step-by-step explanation:

Probability: desired outcomes divided by total outcomes.

choosing a green jelly bean out of a bag that contains 2 green jelly beans, 1 red jelly bean, and 5 yellow jelly beans

2 green jelly beans in a set of 2+5+1 = 8 jelly beans

2/8 = 0.25.

So this is part of the answer.

rolling a number less than 3 on a six-sided die

2 options(1 or 2) out of 6 possible values

2/6 = 0.3333...

Not 25%.

spinning a number less than 2 on a spinner that has four equal sections numbered from 1 to 4

1 options(1) out of four possible sections(1,2,3,4)

1/4 = 0.25

So this is part of the answer.

choosing an Oregon state quarter out a bag that contains 4 California state quarters, 3 Oregon state quarters, 6 Texas state quarters, and 3 New York state quarters

3 Oregon quarters out of 4+3+6+3 = 16 quarters

3/16 = 0.1875

Not 25%

choosing a spade out of a standard deck of cards that contains 13 hearts, 13 clubs, 13 diamonds, and 13 spades

13 cards(spades) out of a set of 52 cards

13/52 = 0.25

So this is the third option

7 0
3 years ago
Read 2 more answers
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