Start with f(x) = (x-9)/(x+5) and g(x) = (-5x-9)/(x-1). To obtain f(g(x)), throw out each appearance of x in f(x) = (x-9)/(x+5) and replace it with <span>g(x) = (-5x-9)/(x-1):
f(g(x)) = [</span>(-5x-9)/(x-1) - 9] / [<span>(-5x-9)/(x-1) + 5]
Now simplify the algebra. If your result equals just x, then you have proven that f and g are inverses of one another. Need help with the fractions? If so, do what you can and share it here; I'd then be glad to give you feedback on your work.</span>
Answer:
25%
Step-by-step explanation:
Given:
The man buys the car for 80000 units.
For repairing the car, the man spends 20000 units.
The man sells the car for 125000 units.
To find:
The gain percent of the man.
Solution:
The man buys the car for 80000 units.
For repairing the car, the man spends 20000 units.
∴ Total expenditure of the man for the car_
(80000 + 20000) units.
= 100000 units.
The man sells the car for 125000 units.
∴ Gain = (125000 - 100000) units
= 25000 units.
∴ Gain % = (25000×100)/100000
= (25000/1000)
= 25 %.
∴ The gain of the man is 25 %.
Answer:
His gain is 25%.
Answer:

Step-by-step explanation:

Add
to both sides

Divide both sides by 11

Answer:
8.94 (Rounded would be 9)
Step-by-step explanation:
By using the Pythagorean Theorem formula,
A^2+B^2 = C^2
You have the hypotenuse (c) = 12
and you have a leg (a) = 8
and you're trying to find another leg (b) = x
In order to find this, you'll have to change up the formula in order to find (B) instead of (C)
B^2 = C^2 - A^2
(B) = (12)^2 - (8)^2
(B) = 144 - 64
(B) = 80
Square root of 80
B = 8.9
Answer:
-3 1/8.
Step-by-step explanation:
−7/8 − 2 1/4
= -7/8 + -9/4
= -7/8 - 18/8
= -25/8
= -3 1/8.