Respuesta :
The inverse this function is y^-1 = x+1/ 2
Are the exponential function's inverse and vice versa?
- Every logarithmic function has an exponential inverse, and vice versa.
- An exponential function is a mathematical function with the formula f (x) = ax, where "x" is a variable and "a" is a constant that is called the function's base and must be greater than zero.
- An exponential function is a mathematical function with the formula f (x) = ax, where "x" is a variable and "a" is a constant that is called the function's base and must be greater than zero. The transcendental number e, which is approximately equal to 2.71828, is the most commonly used exponential function base.
steps of the equation
Our equation is
y=2x+1,
we have y as a function of x , We need x as a function of y
2x = y+1
x = y+1/ 2
Therefore. the inverse is
y^-1 = x+1/ 2
Verification
[y ₀y^-1] (x) = y (x+1/2)
[y ₀y^-1] (x) = 2* (x+1/2)-1
[y ₀y^-1] (x) = x
The inverse of y is the image of y in the line y=x
To learn more about inverse refer to
https://brainly.com/question/25716982
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