First you need to pick a number for y. Lets say you pick 0
Then you need to +3 to each side
Then you can say 3=x+2 or -3=x+2.
To find x you need to subtract 2.
You answer would be (1,3) and (-5.-3)
f(x) = 0.5x - money per ticket
g(x) = 8x - tickets per hour
We replace g(x) with its value (8x).
f(g(x)) = f(8x)
We replace the x in f(x) with 8x.
f(8x) = 0,5 × 8x
f(8x) = 4x
<u>⇒ f(g(x)) = 4x</u>
<u></u>
Correct answer:
a.<em> f(g(x)) = 4x, which represents the money Aurora made in dollars per hour</em>
Hello.
1. Switch y and x.
x = 10y^2 - 4
2. Isolate y.
x + 4 = 10y^2
(x + 4)/(10) = y^2
y = sqrt[(x + 4)/(10)]
3. Replace y with f^-1(x)
f^-1(x) = sqrt[(x + 4)/(10)]
Good luck to you!
Divide both sides by 2
|x-3|>4 and |x-3|<-4
ok so |x-3|<-4 is false, since |x|≥0 always
so we have
|x-3|>4
now assume
x-3>4 and
x-3<-4
x-3>
add 3
x>7
x-3<-4
add 3
x<-1
so
-1>x and x>7
so basically it is all numbers from -∞ to +∞ except from -1 to 7
in interval notaion
(-∞,-1)U(7,∞)
S={x|x<-1 or x>7}
Answer:
second one i think
Step-by-step explanation:
