Answer:
![g(-3)=-2](https://tex.z-dn.net/?f=g%28-3%29%3D-2)
Step-by-step explanation:
<u>Substitute g(-3) into the function:</u>
![g(-3)=2(-3)+4](https://tex.z-dn.net/?f=g%28-3%29%3D2%28-3%29%2B4)
<u>Multiply:</u>
<u />![g(-3)=-6+4](https://tex.z-dn.net/?f=g%28-3%29%3D-6%2B4)
<u>Add:</u>
<u />![g(-3)=-2](https://tex.z-dn.net/?f=g%28-3%29%3D-2)
Answer:
![\boxed{\pink{\sf Option \ (1) \ is \ correct . }}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cpink%7B%5Csf%20Option%20%5C%20%281%29%20%5C%20is%20%5C%20correct%20.%20%7D%7D)
Step-by-step explanation:
Given function to us is ,
And, we need to find the inverse of the equation.
So , for that firstly replace x with y . The equation becomes
Now , next we need to solve for y .
Now , replace y for ![f^{-1}(x)](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29)
![\underline{\boxed{\orange{\tt \implies f^{-1}(x) = \pm\sqrt{\dfrac{x-10}{5}}}}}](https://tex.z-dn.net/?f=%5Cunderline%7B%5Cboxed%7B%5Corange%7B%5Ctt%20%5Cimplies%20f%5E%7B-1%7D%28x%29%20%3D%20%5Cpm%5Csqrt%7B%5Cdfrac%7Bx-10%7D%7B5%7D%7D%7D%7D%7D)
As per the options provided in Question we can that option (1) mathces with our answer when we just interchanged the variables.
<u>Hence</u><u> </u><u>option</u><u> </u><u>(</u><u>1</u><u>)</u><u> </u><u>is</u><u> </u><u>corre</u><u>ct</u><u>.</u>
Answer:
133.33 mph
Step-by-step explanation:
The small trick is to notice the time. Is it 8:00 AM the same day. We don't know, but we will assume it is.
So the truck was on the road for 2 hours.
The car was on the road for 2 - 1/2 = 1 1/2 = 1.5 hours.
The distance travelled was 200 miles
Solution
d = r * t
200 = r * 1.5
200/1.5 = r
r = 133.33 miles / hour
The noise you hear is a siren trying to catch up to the car.
Answer:
Step-by-step explanation:
Japan 80.09 = 16.018
Switzerland 75.81 = 15.162
Answer:
See image below
Step-by-step explanation: