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:
224
Step-by-step explanation:
7 × (3x + x) = 7 × [3(8) + 8]
= 7 × (24 + 8)
= 7 × 32
= 224
It is given that P(A) = 1/2 and P(B) = 0
P(A Î B) = P (A ∩ B) / P(B) = P (A ∩ B)/0
As zero is in the denominator, the expression can't be defined.
In short, final answer is not defined.
Hope it helped.
Answer: 144 inches squared
Step-by-step explanation:
10x12=120
6x8x0.5=24
120+24=144