Given:
The function is:

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

The steps of finding the inverse function are:
Step 1: Substitute
.

Step 2: Interchange x and y.

Step 3: Taking square on both sides, we get

Step 4: Adding 21 on both sides, we get

Step 5: Divide both sides by 7.

Step 6: Substitute
.
, where
.
Therefore, the inverse of the given function is
and the arrangement of steps is shown above.
Answer:
area of larger circle : 9π = 28.27
area of smaller circle: 4π = 12.57
area of shaded region: 15.71
Step-by-step explanation:
area of a circle = πr^2
I think these are right i dont know tho
I) f(2)=1.5
ii) f(x)=0 ⇒ x=1.2
iii) k=-1
iv) x=1 ⇒ f(x)=1
Answer:
to solve the equation, you must multiply both sides by 4 to remove the fraction and get n by itself. so it'll be
n = -48
The true statement is that colony 2 will always have more bacteria than colony 1 after 4 months
<h3>How to determine the number of months?</h3>
The functions are given as:
- Colony 1: f(x) = x^2
- Colony 2: g(x) = 2^x
When colony 2 has more bacteria than colony 1, then it means that:
g(x) >f(x)
Substitute the function values
2^x > x^2
From the graph of both functions, we have:
2^x > x^2 at x >4
This means that colony 2 will always have more bacteria than colony 1 after 4 months
Read more about functions at:
brainly.com/question/11464095
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