Is the function continuous  f(x) = e^x / 1 - e^x

For the parent function f(x) = 10^x , y=1 at the point of (0,1). Determine the coordinates of the point where y=1 for the function g(x)= 10^ (x-5).

Let f(x)=9-x f^-1(x)=

The function x f(x)=(x+1)e^x/[(x+5)(x-2)(x^2+3.78)] is continuous everywhere except x=? Thank you!

Which of the following is  F(x)+C  for  F(x)=∫f(x)dx=∫(3e^x+2sin⁡x)dx  and  F(0)=0  ? Select one alternative: a. 3e^x + 2cos(x) - 2 b. 3e^x - 2cos(x) - 1 c. 3e^x + 2cos(x) - 5 d. 3e^x - 2cos(x) + 2

In calculus, the first derivative of a function f(x) describes a rate of change for the function and is denoted using f^1(x). The function f(x) = -cscx - sinx has the first derivative as f^1(x) = cscxcotx - cosx. Manipulate and write out the expression for f^1(x) to show that f^1(x) = cosxcot^2x.

Find f'(x) if f(x)= 5sin^2(4x^2-5x+1)

find f'(x). f(x)=9e^x-6x+2

f(x)=log(x/24) where y=f(x). f^-1(y)=

f(x)= 3e^x/x^2(x+1)