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LenaWriter [7]
3 years ago
14

Find the inverse of g(x) = 3x^2 - 5

Mathematics
1 answer:
Lorico [155]3 years ago
4 0

Answer:

x

=

√

y

+

5

3

Explanation:

To find the inverse of a function expressed as

XXX

y

=

an expression in

x

rearrange the expression into the form:

XXX

x

=

an expression in

y

Given

XXX

y

=

3

x

2

−

5

Switch sides and add

5

to both sides

XXX

3

x

2

=

y

+

5

Divide both sides by

3

XXX

x

2

=

y

+

5

3

Take the square root of both sides

XXX

x

=

±

√

y

+

5

3

Since we were asked for an inverse function, I've eliminated the non-primary root (a function can not have two values for a single argument value).

Therefore

XXX

x

=

instead of Y do G

Step-by-step explanation:

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Help pls and no links
Svetlanka [38]

We know a or b != 0

but a-b==0 so both are the same unknown number

b/a must = 1

so

a/b is equivalent to b/a as a/b=1 as well.

So the last answer choice.

7 0
3 years ago
A skier has decided that on each trip down a slope, she will do 3 more jumps than before. On her first trip she did 5 jumps. Der
taurus [48]
Since we are already given the amount of jumps from the first trial, and how much it should be increased by on each succeeding trial, we can already solve for the amount of jumps from the first through tenth trials. Starting from 5 and adding 3 each time, we get: 5 8 (11) 14 17 20 23 26 29 32, with 11 being the third trial.

Having been provided 2 different sigma notations, which I assume are choices to the question, we can substitute the initial value to see if it does match the result of the 3rd trial which we obtained by manual adding.

Let us try it below:

Sigma notation 1:

  10
<span>   Σ (2i + 3)
</span>i = 3

@ i = 3

2(3) + 3
12

The first sigma notation does not have the same result, so we move on to the next.

  10
<span>   Σ (3i + 2)
</span><span>i = 3
</span>
When i = 3; <span>3(3) + 2 = 11. (OK)
</span>
Since the 3rd trial is a match, we test it with the other values for the 4th through 10th trials.

When i = 4; <span>3(4) + 2 = 14. (OK)
</span>When i = 5; <span>3(5) + 2 = 17. (OK)
</span>When i = 6; <span>3(6) + 2 = 20. (OK)
</span>When i = 7; 3(7) + 2 = 23. (OK)
When i = 8; <span>3(8) + 2 = 26. (OK)
</span>When i = 9; <span>3(9) + 2 = 29. (OK)
</span>When i = 10; <span>3(10) + 2 = 32. (OK)

Adding the results from her 3rd through 10th trials: </span><span>11 + 14 + 17 + 20 + 23 + 26 + 29 + 32 = 172.
</span>
Therefore, the total jumps she had made from her third to tenth trips is 172.


3 0
3 years ago
What do you think is another example of when a person would need to use credit or borrow money?
NemiM [27]

Answer:

You need money for employees, equipment, office space and much more. Borrowing money to start your practice is often a good idea. The debt is being used to fund something that will likely generate healthy returns, allowing you to safely make the debt payments.

hope this helps :)

7 0
3 years ago
M=72-0.75n can anyone explain how i can find both m and n plz
kari74 [83]

Answer:M is M=-0.75 and +72 and N is n= -1.3M+96

Step-by-step explanation:

5 0
2 years ago
Need help someome help me plz
elena55 [62]
A mapping diagram shows relationships
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