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:
710%
Step-by-step explanation:
1 bucket of eggs is charged at $16.20 for 450 eggs.
1 dozen = 12
450 = 450/12 = 37.5
The store pays ($16.20/37.5 doz)=$0.432/doz
The store charges ($3.50-0.432) $3.068 more per dozen than they paid.
($3.068/$0.432)(100%) = 710%
Answer:
Step-by-step explanation:
Given
Required:
Solve for
For x = 0
For x = 1
For x= 2
For x = 3
Hence, the results are:
Answer:
a = 1
Step-by-step explanation:
One way is to subsitute the point (-1,5) for every function and see which one gives a true statement
5=10(2)^(-1) is true
5=10(0.5)^-1 is false
5=5(-1) is false
5=5(2)^-1 is false
answer is y=10(2)ˣ