Transformation involves changing the form of a function. The function that represents is C; ![g(x) =- \sqrt[3]{x+1}](https://tex.z-dn.net/?f=g%28x%29%20%3D-%20%5Csqrt%5B3%5D%7Bx%2B1%7D)
<h3>What is a function?</h3>
The function is a type of relation, or rule, that maps one input to specific single output.
Function f(x) is given byy;
![g(x) = \sqrt[3]{x}](https://tex.z-dn.net/?f=g%28x%29%20%3D%20%5Csqrt%5B3%5D%7Bx%7D)
f(x) is reflected across the x-axis.
The rule of this transformation (i.e. reflection) is:
(x, y) ⇒ (x, - y)
So,
This gives
![f'(x) = - \sqrt[3]{x}](https://tex.z-dn.net/?f=f%27%28x%29%20%3D%20-%20%5Csqrt%5B3%5D%7Bx%7D)
Now, f'(x) is translated 1 unit left
The rule of this transformation (i.e. translation) is:
(x, y) ⇒ (x+ 1, y)
So,
g(x) = f'(x+ 1)
This gives
![g(x) = -\sqrt[3]{x+1}](https://tex.z-dn.net/?f=g%28x%29%20%3D%20-%5Csqrt%5B3%5D%7Bx%2B1%7D)
Hence, the function that represents g(x) is (c)
Learn more about function here:
brainly.com/question/2253924
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<h2>
Answer:</h2><h2>
The time taken to reach if we drive 50 miles per hour = 126 minutes = 2.1 hours</h2>
Step-by-step explanation:
The time taken to reach the location = 90 minutes = 1.5 hours
The speed driven = 70 miles per hour
By formula, speed = distance traveled / time taken
70 miles per hour = distance traveled / 1.5 hours
distance traveled in miles = 70 * 1.5 = 105 miles
Speed = 50 miles per hour
Distance = 105 miles
Time taken = ?
speed = distance traveled / time taken
50 = 105 / time taken
time taken in hours = 2.1 hours = 126 minutes
I think the answer probably be A
Answer:
5.66 units
Step-by-step explanation:
base: 8-4 = 4
rise: -3-(-)7 = 4
4^2+4^2 = d^2
d^2 = 32
d=5.66 units
Answer:
Rate of snow fall per hour ≥ 1 inches per hour
Step-by-step explanation:
Given:
Amount of snow already settled = 4 inches
Time period of snow fall = 2 hour
New amount of snow = least 6 inches
Computation:
Extra amount of snow ≥ New amount of snow - Amount of snow already settled
Extra amount of snow ≥ 6 - 4
Extra amount of snow ≥ 2 inches
Rate of snow fall per hour ≥ Extra amount of snow / Time period of snow fall
Rate of snow fall per hour ≥ 2 / 2
Rate of snow fall per hour ≥ 1 inches per hour
