Answer:
<em>Correct answer:</em>
<em>A. I and II</em>
<em></em>
Step-by-step explanation:
First of all, let us have a look at the steps of finding inverse of a function.
1. Replace y with x and x with y.
2. Solve for y.
3. Replace y with 
Given that:
Now, let us find inverse of each option one by one.
I. y = x, a(x) = x
Replacing y with and x with y:
x = y
x = 
= 
Hence, I is true.
II. 
Replacing y with and x with y:
= Hence, II is true.
III. 
Replacing y with and x with y:
Hence, III is not true.
IV. 
Replacing y with and x with y:
![x =y^{3}\\\Rightarrow y = \sqrt[3] x\\\Rightarrow a^{-1}(x) = \sqrt[3]{x} \ne a(x)](https://tex.z-dn.net/?f=x%20%3Dy%5E%7B3%7D%5C%5C%5CRightarrow%20y%20%3D%20%5Csqrt%5B3%5D%20x%5C%5C%5CRightarrow%20a%5E%7B-1%7D%28x%29%20%3D%20%5Csqrt%5B3%5D%7Bx%7D%20%5Cne%20a%28x%29)
Hence, IV is not true.
<em>Correct answer:</em>
<em>A. I and II</em>
<em></em>
For this case we have the following function:
f (x) = (1/3) * (4 ^ x)
We must evaluate the function for x = 2
We have then:
f (2) = (1/3) * (4 ^ 2)
Rewriting:
f (2) = (1/3) * (16)
f (2) = 16/3
Answer:
The function evaluated at x = 2 is:
f (2) = 16/3
option A
Answer:
Step-by-step explanation:
You have to know how negative exponents "work" to understand this concept.
because if you want to make a negative exponent positive you put what the exponent is on under a 1. It follows then that you can go backwards from that and rewrite positive fractions with negative exponents.
Number one. 897 2. Eight hundred eighty four and fourth seven hundredths. Number three. 17.818. 4. Two thousand forty four and four tenths. Number five. 22.766 6. Twelve thousand five hundred and twelve Number seven. 23.62
Answer:
<h3>Part A</h3>
The graph is non-linear as it is not a continuous straight line (with only one slope).
<h3>Part B</h3>
<u>Increasing</u>: the y-value increases as the x-value increases
<u>Constant</u>: the y-value stays the same as the x-value changes
<u>Decreasing</u>: the y-value decreases as the x-value increases
Therefore,
- Increasing segment: Between 0 and 2 seconds
- Constant segment: Between 2 and 3 seconds
- Decreasing segment: Between 3 and 5 seconds
<h3>Part C</h3>
For the first 2 seconds, the ant moves 6 cm from a hole in the tree at a steady speed of 3 cm per second. For the next second, the ant is at rest then turns around. For the next 2 seconds, the ant moves 6 cm back to the hole at a steady speed of 3 cm per second. The ant then stops.
