Answer: 64
Step-by-step explanation:
We know that g(x) = \frac{3}{x^2+2x}
We have to find g^-1(x) or inverse of g(x)
Inverse of g(x) can be determined by equating g(x) to y, and determining the value of x in terms of y
g(x) = y = \frac{3}{x^2+2x}
⇒ y × (x² + 2x) = 3
⇒ yx² + 2xy = 3
⇒ yx² + 2yx - 3 = 0
Determining the roots of x using:
x =
OR x =
, where a is coefficient of x², b is coefficient of x, and c is the constant
⇒ x =
OR x = 
⇒ x =
OR x = 
Hence, g^-1(x) =
OR x = 
Answer:
(6,0)
Step-by-step explanation:
X-value:
10-8=2
8-2=6
Y-value
4-2=2
2-2=0
Answer:
6.1
Step-by-step explanation:
Surface area of the room = 2(lw + hl + hw)
Where,
l = length = 7 m
w = width = 4 m
h = height = 3 m
Surface area of the room = 2(lw + hl + hw)
= 2(7*4 + 3*7 + 3*4)
= 2(28 + 21 + 12)
= 2(61)
= 122 m²
A 4-L can of paint covers 40 m²
Number of 4-L can of paint needed for 1 coat = 122 m² / 40 m²
= 3.05 4-L can of paint
The walls need 2 coats of paint
Number of 4-L can of paint needed for 2 coats = Number of 4-L can of paint needed for 1 coat × 2
= 3.05 × 2
= 6.1 4-L can of paint