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  • If fx) ax+ b, where a and b are integers, f(-1) = -5 and f(3) - 3, then a and b are equal to (a) a = -3, b =-1 (b) a = 2, b =-3 (c) a = 0, b = 2 (d) a = 2, b = 3

Iff(x)= ax+ b, where a and b are integers, f(-1) = -5 and f(3) - 3, then a and b are equal to
(a) a = -3, b =-1
(b) a = 2, b =-3
(c) a = 0, b = 2
(d) a = 2, b = 3

Answers (1)

Given data: f(x)= ax+ b

Now, f(-1) = a(-1) + b

i.e., -5 = -a +b

Thus, a-b = 5          ......... (i)

Now, f(3) = 3a + b

i.e., 3 = 3a +b

Thus, 3a + b = 3       ..... (ii)

From (i) & (ii), we get,

a = 2 & b = -3

Therefore, (b) is the correct answer.

Posted by

infoexpert21

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