If g(x) = 3x - 4, what is the value of g^-1(g(-2))? A) -2B) -10C) 2/3D) x+4/3

Using inverse functions, it is found that the value of [tex]g^{-1}(g(-2))[/tex] is equals to:A) -2.How to find the inverse of a function?To find the inverse of a function y = f(x), we exchange x and y, and isolate y.In this problem, the function is:g(x) = 3x - 4.That is:y = 3x - 4.Exchanging x and y and isolating y:x = 3y - 43y = x + 4[tex]y = \frac{x + 4}{3}[/tex][tex]g^{-1}(x) = \frac{x + 4}{3}[/tex]Then:g(-2) = 3(-2) - 4 = -10.[tex]g^{-1}(-10) = \frac{-10 + 4}{3} = -2[/tex].Hence option A is correct.More can be learned about inverse functions at