Question

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

Answer 1

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,∞)