Answer:
Step-by-step explanation:
From the definition if inverse function we can say if y = f(x) and x = h(y) then h(x) is the inverse function of f(x).
Here the given function is 
and we have to find the 
i.e. the inverse function of g(x).
Now, let us assume 
Now, taking ln both sides we get, 
{Since 
}
⇒ 
Therefore, (Answer)
Answer:
The length of a side of the square is 6.3 units.
Step-by-step explanation:
When given vertices for a given shape, the length of the side is calculated using the formula:
√(x2 - x1)² + (y2 - y1)²
When given vertices (x1 , y1) and (x2 , y2)
Square ABCD has vertices A(-2,-3), B(4, -1), C(2,5), and D(-4,3). Find the length of a side
Side AB : A(-2,-3), B(4, -1)
√(x2 - x1)² + (y2 - y1)²
= √(4 -(-2))² + (-1 -(-3))²
= √ 6² + 2²
= √36 + 4
= √40
= 6.3245553203
≈ 6.3 units
B(4, -1), C(2,5),
√(x2 - x1)² + (y2 - y1)²
= √ (2- 4)² + (5- (-1))²
= √-2² + 6²
= √4 + 36
= √40
= 6.3245553203
≈ 6.3 units
C(2,5), D(-4,3).
√(x2 - x1)² + (y2 - y1)²
= √(-4 - 2)² + (3 - 5)²
= √-6² + -2²
= √36 + 4
= √40
= 6.3245553203
≈ 6.3 units
A(-2,-3), D(-4,3).
√(x2 - x1)² + (y2 - y1)²
= √(-4 -(-2))² + (3 - (-3))²
= √-2² + 6²
= √4 + 36
= √40
= 6.3245553203
≈ 6.3 units
Answer:
No
Step-by-step explanation:
Step 1: Write equation
8u - 1 = 6u
Step 2: Solve for <em>u</em>
- Subtract 6u on both sides: 2u - 1 = 0
- Add 1 to both sides: 2u = 1
- Divide both sides by 2: u = 1/2
∴ u = -1/2 is NOT a solution.
Answer: 17%
Step-by-step explanation:
136,890-117,000=19,890
19,890/117,000=0.17
0.17*100=17% increase in the city population
Answer:
D. 
Step-by-step explanation:
Recall: SOH CAH TOA
Thus,
Tan A = Opposite/Adjacent
Reference angle (θ) = A
Length of side Opposite to <A = 15
Length of Adjacent side = 8
Plug in the known values
