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g(x)= x² - 1 --> g^-1(x)= √(x+1)
f(x) = g^-1 o (gof)
f(x) = √(4x²+4x +1)
f(x-2) = √ { 4(x-2)² + 4(x-2) + 1 }
f(x-2) = √ { 4(x²-4x+4) + 4x -8 +1}
f(x-2) = √ { 4x² - 16x +16 + 4x -8 +1}
f(x-2) = √{4x² - 12x + 9)
f(x-2) = √(2x-3)²
f(x-2) = (2x-3)