Answer:
f(x)=(x-1)^2+5 with domain x>1 and range y>5 has inverse g(x)=sqrt(x-5)+1 with domain x>5 and range y>1.
Step-by-step explanation:
The function is a parabola when graphed. It is in vertex form f(x)=a(x-h)^2+k where (h,k) is vertex and a tells us if it's reflected or not or if it's stretched. The thing we need to notice is the vertex because if we cut the graph with a vertical line here the curve will be one to one. So the vertex is (1,5). Let's restrict the domain so x >1.
* if x>1, then x-1>0.
* Also since the parabola opens up, then y>5.
So let's solve y=(x-1)^2+5 for x.
Subtract 5 on both sides:
y-5=(x-1)^2
Take square root of both sides:
Plus/minus sqrt(y-5)=x-1
We want x-1>0:
Sqrt(y-5)=x-1
Add 1 on both sides:
Sqrt(y-5)+1=x
Swap x and y:
Sqrt(x-5)+1=y
x>5
y>1
Answer:
Please read the explanation to clarify.
Step-by-step explanation:
What you would have to do is multiply 1.06 by 4 to get 4.24. However, if you search up the exact conversion on g00gle, "how many liters are in 4 quarts?", you get the exact number of 3.78541, which can be rounded to 3.78. I believe if this is more of an exam thing, you should go with the first answer I gave, 4.24, and show how you multiplied to show your work. However, if you would like to use the second answer, it is completely up to you. Either way, I hope this helped, and if you have any further questions please don't hesitate to let me know. :)
<em>I </em><em>think </em><em>41 </em><em>is </em><em>correct </em><em>answer</em>
Step-by-step explanation:
(7+8)-(5+9)+4(2+5)
=15-14+4(10)
=1+40
=41
The answer is seven. Fifty-six divided by eight is seven.
Answer:
Triangle ABC is equal and that means all angles are the same
Step-by-step explanation:
