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
Answer:
D
Step-by-step explanation:
Answer:
Check below
Step-by-step explanation:
So 1 the relationship between the height of the tree and the time since it was planted is a set of unconnected points, since the tree eventually stops growing, it's not continuous.
2. The relationship is between the number of 12 dollar dvds and the total cost is a solid line, because you can buy an infinite amount of dvds so it's continuous.
3. The relationship between the height of a small child and the age of a small child recorded in months is a set of unconnected points. It's over the course of months, and he will eventually stop growing, so it's not continuos.
Answer:
9
Step-by-step explanation:
Substitute 4 as k into the equation.
16 - 3(4) + 5
simplify
16 - 12 + 5
4 + 5
9
The answer is 9.
