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Dear Student, f (x) = 2 x + 5 g (x) = x^{2} + 1 (i) fog = f (g (x)) = 2 (x^{2} + 1) + 5 = 2 x^{2} + 7 (ii) gof = g (f (x)) = {(2 x + 5)}^{2} + 1 = 4 x^{2} + 20 x + 26 (iii) fof = f (f (x)) = 2 (2 x + 5) + 5 = 4 x + 15 (iv) gog = g (g (x)) = {(x^{2} + 1)}^{2} + 1 = x^{4} + 2 x^{2} + 2 Regads

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