Answer:
8x+8
Step-by-step explanation:
(f.g)(x)= (f)(g)
(f.g)(x)=(4.2)(x+1)
(f.g)(x)=(8)(x+1)
(f.g)(x) =8x+8
Answer:
3 batches
Step-by-step explanation:
1: if u use the same measures they will be congruent angles.
2: because the segment is being cut in half.
3: their has to be an intersection in the arcs<span />
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
Very easy:
Find volume by formula: W*H*L
6*5*4=120
10*10*2=200
120+200=320 cubic inches for first question
