$f(x)=e^{x-11}-8\to y=e^{x-11}-8\ \ \ \ |add\ 8\ to\ both\ sides\\\\e^{x-11}=y+8\\\\\ln e^{x-11}=\ln(y+8)\iff x-11=\ln(y+8)\ \ \ \ |add\ 11\ to\ both\ sides\\\\x=\ln(y+8)+11\\\\a)\ \boxed{f^{-1}(x)=\ln(x+8)+11}\\\\b)\ The\ domain\ of\ f^{-1}(x):\\\\x+8 > 0\to \boxed{x > -8\to x\in(-8;\ \infty)}$

7 0

3 years ago

What are least common multiples

Dvinal [7]

A common multiple is a number that is a multiple of two or more numbers. The common multiples of 3 and 4 are 0, 12, 24, .... The least common multiple (LCM) of two numbers is the smallest number (not zero) that is amultiple of both.

5 0

3 years ago

Read 2 more answers

A student bought 5 coats at $86 each and paid for them with only $20 bills. How many bills did it take ?

aleksandr82 [10.1K]

It took 22 $20 bills . $86 x5= $430
Then $430 divide by 20 = 21.5
So you can’t have half a bill do the answer has to be rounded up to 22 twenty dollar bills

3 0

3 years ago