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3 years ago

Please Help! Are F(x) and G(x) inverse functions across the domain [3,+∞)?

Mathematics

1 answer:

allochka39001 [22]3 years ago

5 0

Answer:

Explanation:

For functions to be inverse, it must be true that f( g(x) ) = x and g( f(x) ) = x.

But for F( G(x) ), we have √( G(x) - 3 ) + 8

= √( (x+8)² - 3 - 3 ) + 8

= √( (x+8)² - 6 ) + 8

This -6 part should be cancelled out for functions to work out but we cannot do that, therefore F(x) and G(x) are not inverse.

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A lighthouse keeper has a 10 degrees angle of depression between the horizontal light beam and the line of sight from the ship.

Andrei [34K]

107.75m
This is a trigonometric ratio problem. the angle of depression (10) is opposite the height (19m) and the distance is adjacent to the distance (x). opposite ad adjacent sides to the angle is a tangent problem.
$tan \theta = \frac{opp}{adj}$
plus in values, we know.
$tan (10) = \frac{19}{x}$
switch tan(10) and x using the products property.
$x = \frac{19}{tan (10)}$
plug in to calulator to get answer
x=107.75

4 0

3 years ago

Which of the following is an example of the compliment rule being applied to

UNO [17]

Answer:

Hello There!!

Step-by-step explanation:

I think the answer is B. The probability of not drawing a club or jack from a deck of cards.

hope this helps,have a great day!!

~Pinky~

6 0

3 years ago

Read 2 more answers

Given<br> f(x) = -4(x+5),<br> what is the value of<br> f(-3)?<br>

sp2606 [1]

Answer:

f(-3)=-8

Step-by-step explanation:

plug -3 in as x

-4(-3+5)

12-20

-8

4 0

3 years ago

Belle and Mabel are both 8-week-old puppies of different breeds. Belle has a mass of 12

balandron [24]

Answer:

3:1

Step-by-step explanation:

Take the fraction and simplify it:

12/4 = 3/1

6 0

3 years ago

Help on this thx for helping if you did

vichka [17]

To evaluate two fractions being divided, you must turn the right fraction into a reciprocal. That means you must put the bottom number at the top and then put the top number on the bottom (you’re basically switching them).

8/13 / 3/2

Now, once you turned the other number into a reciprocal, you multiply across. The top number times the other top number and do this to the bottom numbers, too.

8/13 * 3/2 = 24/26

You found the answer, 24/26. But as you can see, it’s not one of the choices. That’s because you need to simplify.

24/26 / 2/2 = 12/13

12/13 is your answer, or choice C!

I hope this helped. Comment below if you have any questions.

6 0

3 years ago