Question

Functions and Relations Question. find the inverse of an (fx) equation. Please provide answer option A,B,C or D? Thanks!

Answer 1

A.

Explanation:

the normal function format is

f(x) = y = expression in x

remember, f(x) = y. these are 2 ways of describing the same thing. just by using y we are assigning a variable to the function result value. and we can use that variable as any other variable in a transformation of the equation.

so, we have

`y = \sqrt[3]{x + 13}`

now we transform the equation so that x stands alone in one side equaling an expression in y. and that is the inverse function.

as a final step we then rename x to y and y to x to make it a "normal" function definition.

first we cube both sides.

y³ = x + 13

and then we subtract 13 from both sides.

y³ - 13 = x

and renaming

y = x³ - 13

and we see, answer A is correct.