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g(x)= x-2
a) (f+g)(x)= x² -4 + x -2 = x² + x -6
b) (f-g)(x)= x² -4 - x -2 = x² - x -2
c) (f*g)(x)= (x²-4) * (x-2) = x³-2x²-4x+8
2. f(x)= x²-4x+2
g(x)= 3x-7
a) (gof)= 3(x²-4x+2) - 7
b) (fog)= (3x-7)² - 4(3x-7) + 2
c) (gof)(7)= 3(x²-4x+2) - 7
= 3(7²-4(7)+2) - 7
= 3(49-28+2)-7
= 3(23)-7
= 69-7
= 62