Answer:
[tex]4x^2 -4x -1[/tex]
Step-by-step explanation:
Given functions,
[tex]f(x) = 2x - 1-----(1)[/tex]
[tex]g(x) = x^2 -2-----(2)[/tex]
∵ (gof)(x) = g[f(x)] ( Composition of functions )
[tex]\implies (gof)(x) = g(2x-1)[/tex] ( From equation (1) )
[tex]=(2x-1)^2 - 2[/tex] ( From equation (2) )
[tex]=4x^2 + 1 - 4x - 2[/tex]
[tex]=4x^2 -4x -1[/tex]
