- #1
Eishan M
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Hi,
What is the inverse of f(x)= e^x + e^-x +1?
What is the inverse of f(x)= e^x + e^-x +1?
The inverse of f(x)=e^x + e^-x+1 is given by the function g(x)=ln(x+1).
To find the inverse of f(x)=e^x + e^-x+1, switch the positions of x and y in the equation and solve for y. This will give you the inverse function g(x).
Yes, the inverse of f(x)=e^x + e^-x+1, g(x)=ln(x+1) is a one-to-one function. This means that each input has a unique output and vice versa.
The domain of the inverse function g(x)=ln(x+1) is all real numbers greater than or equal to -1. The range is all real numbers.
To graph the inverse function g(x)=ln(x+1), start by plotting the points (0,0) and (1,0). Then, use the inverse function to find the corresponding points for other values of x. Connect these points to create the graph of the inverse function.