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:
Step-by-step explanation:
Josie combines 8.27 liters of red paint with 6.65 liters of blue paint to make purple paint. This means that the total number of liters of paint in the mixture(purple paint) is
8.27 + 6.65 = 14.92 liters
She pours the paint equally into 2 containers, and has 1.56 liters of paint left over. This means that the amount of paint that she poured inside the 2 containers is
14.92 - 1.56 = 13.36 liters.
Therefore, the number of liters of paint in each container is
13.36/2 = 6.68 liters
Step-by-step explanation:
Is there any more context to this question? Or can you use and answer. There are a lot of answers to this question, so long as x is not finite
Answer:
D). 290 feet
Step-by-step explanation:
Length of the yard = 65 feet
Width of the yard = 80feet
The Perimeter of the yard = 2(l + b)
= 2 * (65 + 80)
= 2 * 145
= 290 feet
∵ Fencing required = 290 feet
Thus, <u>option A</u> is the correct answer.
