Given that the image of power function f (x) passes through (9,3), then f (2) - f (1)=______ .

Given that the image of power function f (x) passes through (9,3), then f (2) - f (1)=______ .

Because the function is a power function, let its analytic formula be y = x α, because the function image passes through (9, 3), so 3 = 9, α = 32 α, so α = 12, so the analytic formula of the power function is y = x, so f (2) - f (1) = 2 − 1, so the answer is 2 − 1