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
Step-by-step explanation:
This is what it is equal to:
9×3x=27x
9×8=72
Therefore it will be:
hope it helps!
Answer:
8.4
Step-by-step explanation:
Add 8+8+8+9+9=42 then 42/5 equals 8.4
Hope this helps! ;-)
You will need to deposit $ 10,957 each year until retirement to achieve your retirement goals.
<h3>What is compound interest, and how does it work?</h3>
Compound interest is computed on a loan or deposit based on the starting principle and the preceding period's accrued interest.
Principal(P)=$40,000
(Time period)T=25+15 = 40 year
R=8%
The final balance is $273,938.99 and the total compound interest is $233,938.99.
The amount he has to deposit each year is found as;
⇒$273,938.99/25
⇒ $ 10,957
Hence. you will need to deposit $ 10,957 each year until retirement to achieve your retirement goals.
To learn more about compound interest, refer to brainly.com/question/14295570
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