Question 838749
see the following:
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f(g(x)) = x and g(f(x) = x
this makes f(x) and g(x) inverse functions of each other.
to find the inverse of x^3 - 4, do the following:
start with:
y = x^3 - 4
replace x with y and y with x to get:
x = y^3 - 4
solve for y by doing the following:
add 4 to both sides of the equation to get:
x + 4 = y^3
take the cube root of both sides of the equation to get:
cube root of (x + 4) = y
commute this equation to get:
y = cube root of (x + 4) which looks like {{{y = root(3,x+4)}}} when sent through the algebra.com formula generator.
{{{y = root(3,x+4)}}} is the same as g(x).
they are both inverse functions to f(x).