Question

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

Answer 1

inverse f-1 (x) = x/18

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