Given:
The function is
To find:
The inverse of the given function.
Solution:
We have,
Substitute m(x)=y.
Interchange x and y.
Add square of half of coefficient of y , i.e., 
on both sides,
![[\because (a-b)^2=a^2-2ab+b^2]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%28a-b%29%5E2%3Da%5E2-2ab%2Bb%5E2%5D)
Taking square root on both sides.
Add 
on both sides.
Substitute 
.
We know that, negative term inside the root is not real number. So,
Therefore, the restricted domain is and the inverse function is .
Hence, option D is correct.
Note: In all the options square of is missing in restricted domain.
Answer:
The answer to your question is: 2x -13
Step-by-step explanation:
Simplified (8x − 7) + (-2x − 9) − (4x − 3)
8x - 7 - 2x - 9 - 4x + 3
Simplified like terms 8x - 2x - 4x - 7 - 9 + 3
2x -13
Answer:
9) 51 × 10⁻⁵ = 0.00051
10) Cash price = #54,000 × (1 - 0.125) = #47,250
11) -40·p·q÷(-2)² = -10·p·q
12) 0.003 × 0.045 = 1.35 × 10⁻⁴
13) N40°W = 320°
14) The base diameter of the cylinder = √(4 × (700×π cm³/7)/π) = 20 cm
15) The LCM of 2·x²·y, 3·x·y² is 12·x²·y²
16) 636,000 = 6.36 × 10⁵
17) 1/3·π·r²·h₁ = π·r²·h₂
h₂/h₁ = 1/3·π·r²/( π·r²) = 1/3
h₂/12 = 1/3
h₂ = 12/3 = 4 cm, the height of the cylinder = 4 cm
18) The angle = 180 + 45 = 225°
19) The total surface area = 22/7×14²/4 + 22/7 ×14 × 20 = 1034 cm²
20) The number is 58/2 = 29.
Step-by-step explanation:
Answer:
Part A:
Part B:
Step-by-step explanation:
The total number of candies is 40.
10 + 14 + 4 + 12 = 40
14 are Butterfinger and 12 are Crunch.
14 + 12 = 26
40 - 1 = 39
×
Answer:
D) 3 X 10⁷
Step-by-step explanation:
<u>Estimated days:</u>
- Jan 2000 to June 2001 = 1.5 years = 365*1.5 days ≈ 548 days
- 1 day = 24 hours = 24*60 minutes = 24*60*60 seconds =
- 548 days = 548 * 86400 seconds =
Best estimate is D) 3 X 10⁷
