F^-1 is defined by F^-1(x)= 1-5x/2x for 0 < x <= 2
1) find an expression for F(x) and state the domain of F
The range of f^-1(x) is (-9/4,∞)
x = (1-5y)/(2y)
2xy = 1-5y
y = 1/(2x+5)
so, f(x) = 1/(2x+5)
domain is (-9/4,∞)
1) find an expression for F(x) and state the domain of F
x = (1-5y)/(2y)
2xy = 1-5y
y = 1/(2x+5)
so, f(x) = 1/(2x+5)
domain is (-9/4,∞)