The Bigger weight minus the lower weight
Answer:
1) 25
2) 2
3) f(g(1)) = 42
Step-by-step explanation:
1) Given that f(x) = 4x^2 + 9
If x = -2
f(-2) = 4(-2)^2 + 9
f(-2) = 4(4) + 9
f(-2) = 16 + 9
f(-2) = 25
2) Given that f(x) = 4x - 6
y = 4x - 6
Replace y with x
x = 4y - 6
MAke y the subject of the forfmula
4y = x+ 6
y = (x+6)/4
SInce x = 2
f^(-1)(2) = (2+6)/4
f^(-1)(2) = 8/4 = 2
3) If f(x) = 6x and g(x) = x+6
f(g(x)) = f(x+6)
f(x+6) = 6(x+6)
Since x = 1
f(g(1)) = 6(1+6)
f(g(1)) = 6(7)
f(g(1)) = 42
A + s = 456........a = 456 - s
3.5a + s = 1131
3.5(456 - s) + s = 1131
1596 - 3.5s + s = 1131
-3.5s + s = 1131 - 1596
-2.5s = - 465
s = -465/-2.5
s = 186 <====== student tickets sold
a + s = 456
a + 186 = 456
a = 456 - 186
a = 270 <==== adult tickets sold
