You gots to explain that Better man
Answer:
1) The inverse of the function f(x)=2^x+6 is: f^(-1) (x)=log(x-6) / log(2)
2) The inverse of the functio f(x)=2^(x+6) is: f^(-1) (x) =log(x) / log(2) - 6
Solution:
1) f(x)=2^x+6
y=f(x)
y=2^x+6
Solving for x: Subtracting 6 both sides of the equation:
y-6=2^x+6-6
y-6=2^x
Applying log both sides of the equation:
log(y-6)=log(2^x)
Applying poperty of logarithm: log(a^b)=b log(a); with a=2 and b=x
log(y-6)=x log(2)
Dividing both sides of the equation by log(2)
log(y-6) / log(2)=x log(2) / log(2)
log(y-6) / log(2)=x
x=log(y-6) / log(2)
Changing "x" by "f^(-1) (x)" and "y" by "x":
f^(-1) (x)=log(x-6) / log (2)
2) f(x)=2^(x+6)
y=f(x)
y=2^(x+6)
Solving for x: Applying log both sides of the equation:
log(y)=log(2^(x+6))
Applying poperty of logarithm: log(a^b)=b log(a); with a=2 and b=x+6
log(y)=(x+6) log(2)
Dividing both sides of the equation by log(2)
log(y) / log(2)=(x+6) log(2) / log(2)
log(y) / log(2)=x+6
Subtracting 6 both sides of the equation:
log(y) / log(2) - 6 = x+6-6
log(y) / log(2) - 6 = x
x=log(y) / log(2) -6
Changing "x" by "f^(-1) (x)" and "y" by "x":
f^(-1) (x)=log(x) / log (2) - 6
Answer:
8 is the answer
Step-by-step explanation:
the equation is r = C/2*3.14
2*3.14=6.28
Because your C is 50 you do 50/6.28 and when you do that you get 7.962 (rounded) and then we round for the whole # so 8.
Answer:
66%
Step-by-step explanation:
50 - 17 = 33, so that is the difference between the two numbers. Percent change is the change over the original, so 33/50. 33/50 equals 66/100, so the percent change is 66%
Answer: 55
Explanation: The time that Nicole practiced in 5 WEEKS is 2030 minutes. If you want to know how many minutes she did per DAY, you should first convert 5 weeks into 35 days, since there 7 days in a week. Now, you can divide 35 from 2030, which will give you 55 minutes per DAY.
