Given f(x) = ax + 1 and g(x) = 2x + 3. If fog = gof, find a.
Explanation:
fog = f(2x + 3) = a(2x + 3) + 1 = 2ax + 3a + 1
gof = g(ax + 1) = 2(ax + 1) + 3 = 2ax + 5
⇒ 2ax + 3a + 1 = 2ax + 5
⇒ a = 4/3
Hence, option (a).
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