If f(x) = 2x+3 and g (x) = (x – 3)/2, then what is the value of gof(x) - fog(x)?
Explanation:
Given, f(x) = 2x + 3
∴ fog(x) = 2g(x) + 3 = 2((x - 3)/2) + 3 = x – 3 + 3 = x.
∴ gof(x) = (f(x) - 3)/2 = (2x + 3 - 3)/2 = x.
∴ gof(x) - fog(x) = x – x = 0.
Hence, option (b).
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