Given:
The function is

To find:
The inverse of the given function.
Solution:
We have,

Substitute m(x)=y.

Interchange x and y.

Add square of half of coefficient of y , i.e.,
on both sides,


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Taking square root on both sides.

Add
on both sides.

Substitute
.

We know that, negative term inside the root is not real number. So,


Therefore, the restricted domain is
and the inverse function is
.
Hence, option D is correct.
Note: In all the options square of
is missing in restricted domain.
Answer:

Step-by-step explanation:
Given equation:

Factor out 3 from the first 2 terms:

Divide the coefficient of x by 2 and square it: (-3 ÷ 2)² = 9/4
Add this inside the parentheses and subtract the distributed value of it outside the parentheses:

Factor the parentheses and combine the constants:

Answer:
Chesa will make 4 gallons of soup this year.
Step-by-step explanation:
If you multiply 32 times 2 you will get 64. You then find out how many cups are in a gallon. If 16 cups are in a gallon, you then divide 64 by 16. Your answer should be 4.
Answer:
i would say it will be six
Step-by-step explanation:
because the height is the same the h