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Question
If f(x) = ax + b, where a and b are integers, f(–1) = – 5 and f(3) = 3, then a and b are equal to ______.
Options
a = – 3, b = –1
a = 2, b = – 3
a = 0, b = 2
a = 2, b = 3
Solution
If f(x) = ax + b, where a and b are integers, f(–1) = – 5 and f(3) = 3, then a and b are equal to a = 2, b = – 3.
Explanation:
Given that: f(x) = ax + b
⇒ f(– 1) = a(– 1) + b
⇒ – 5 = – a + b
⇒ a – b = 5 ......(i)
f(3) = 3a + b
⇒ 3 = 3a + b
⇒ 3a + b = 3 ......(ii)
On solving equation (i) and (ii)
We get a = 2, b = – 3
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