Find the inverse of the function âf (x) equals 18x. Verify that f (f Superscript negative 1 Baseline (x)) equalsxand f Superscript negative 1 Baseline (f (x)) equalsx. f Superscript negative 1 Baseline (x) equalsnothing

inverse f-1 (x) = x/18

Step-by-step explanation:

To find the inverse of a function f-1 (x), we represent f (x) by y or let f (x) = y

then make x the subject of the formula,

f (x) = 18x

Let f (x) = y

hence Y = 18x, make x the subject of the formula, do that by dividing both sides by 18,

Y/18 = x or x = Y/18

Interchanging or swapping x and y, therefore f-1 (x) = x/18

therefore, F (x) = 18x, the inverse f-1 (x) = x/18