Step-by-step explanation:
these are composite functions : a function of a function of a value.
this can have many more "staging" levels.
in essence, we calculate the functional result of the innermost function (with the given value) first, use that functional result as input value for the next function to the left. use that functional result as input value for the next function to the left. ...
f(g(x)) means therefore we start with g(x).
g(f(x)) means we start with f(x).
that is all. it is really simple. and actuality fun (like a maze - remember e.g. computer games, where you walked through one door and excited through a totally different door ?).
f(g(0)) =
so, we need g(0) = 4 - 0² = 4
and now we calculate
f(4) = 7×4 + 6 = 28 + 6 = 34
therefore,
f(g(0) = 34
g(f(0)) =
so, we need f(0) = 7×0 + 6 = 6
and now we calculate
g(6) = 4 - 6² = 4 - 36 = -32
therefore,
g(f(0)) = -32
Answer:
P(t) = - 60t + 4720
3580
Step-by-step explanation:
Given :
m = (y2 - y1)/(x2 - x1)
m = (4250 - 4600) / (8 - 2)
m = - 360 / 6
m = - 60
Using the point slope relation :
y - y1 = m(x - x1)
y - 4600 = - 60(x - 2)
y - 4600 = - 60x + 120
y - 4600 + 4600 = - 60x + 120 + 4600
y = - 60x + 4720
P(t) = - 60t + 4720
To predict population in 2009 :
2009 - 1990 = 19 years
Put t = 19
P(19) = - 60(19) + 4720
P(19) = - 1140 + 4720
P(19) = 3580
Answer: y=0 and x=3
Step 1: Solve for x in 2x+9y=6.
(Subtract 9y from both sides)
( Divide both sides by 2)
Step 2: Replace x with 3-4.5y
Step 3: Solve for y
(By looking at this, we can determine that y=0)
Step 4: Replace y with 0
(Divide both sides 2)
Therefore, y=0 and x=3
Answer:
-32
Step-by-step explanation:
First you have to solve the numbers in the parenthesis which would be (8-4)= 4 then there is a 2 that you have to multiply which would be 4x2=8, then you have to solve the other parenthesis (4-8)=-4 so then you end up with 8x-4 which equals -32
Answer:
y = x + 2
Step-by-step explanation:
y - 3 = x - 1
+3 +3
y = x + 2
