Answer:
-2/3
Step-by-step explanation:
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:
we would like to integrate the following Integral:

well, to get the constant we can consider the following Integration rule:

therefore,

recall exponent integration rule:

so let,
Thus integrate:

simplify addition:

reduce fraction:

finally we of course have to add the constant of integration:

hence,
our answer is D)
Answer:
60
Step-by-step explanation:
sum the parts of the ratio, 8 + 12 = 20 parts
Divide the total by 20 to find the value of one part of the ratio
100 ÷ 20 = 5 ← value of 1 part of the ratio , thus
8 parts = 8 × 5 = 40 ← number of purple bikes
Answer:
7
Step-by-step explanation: