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Question
If f(x) = `("a" - x)/("b" - x)`, f(2) is undefined, and f(3) = 5, find a and b
Solution
f(x) = `("a" - x)/("b" - x)`
∴ f(2) = `("a" - 2)/("b" - 2)`
∵ f(2) is not defined
∴ b – 2 = 0
∴ b = 2
Also, f(3) = `("a" - 3)/("b" - 3)`
∵ f(3) = 5
∴ `("a" - 3)/(2 - 3)` = 5 ...[∵ b = 2]
∴ a – 3 = – 5
∴ a = – 2
Hence, a = – 2, b = 2.
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