The inverse of the function y = x is denoted as y = x. The inverse function essentially swaps the roles of x and y, so the inverse of y = x is x = y. In other words, the inverse function of y = x is the function x = y.
log5x
Because the inverse of a function is what happens when you replace x with y and y with x.
Assuming that b > 0, it is an inverse power function or an inverse exponential function.
Direct
To find the inverse of a function, you replace x with y and y with x. Here, y=2x-4 would become x=2y-4. Now, we solve for y. 2y=x+4. y=(x/2)+4, and that is the inverse equation.
6
The inverse function is obtained by interchanging corresponding values of x and y and then transposing the resulting equation to make y the subject. f(x) = y = 8x + 5 therefore f-1(x) = x = 8y + 5 : 8y = x - 5 : y = (x - 5)/8 The inverse function of y = 8x + 5 is y = (x - 5)/8
Simply stated, the inverse of a function is a function where the variables are reversed. If you have a function f(x) = y, the inverse is denoted as f-1(y) = x. Examples: y=x+3 Inverse is x=y+3, or y=x-3 y=2x+5 Inverse is x=2y+5, or y=(x-5)/2
x=y is the identity. It is its own inverse. So the inverse is y=x.
1
Assuming the domain and range are both the real numbers (or rationals): Yes, it is 1 to 1 Yes, it is onto and the inverse is x = (y-3)/4