Question

F(x) = ax + b for x in R

Given that f(5) = 3 and f(3) = - 3 :
b. solve the equation ff * (x) = 4 .​

Answer 1

a=3, b=-12

Explanation:

f(x)=ax+b

f(5)=5a+b=3 [eq.1]

f(3)=3a+b=-3 [eq.2]

[eq.2] - [eq.1]

3a+b-5a-b= -3 -3

3a-5a=-6

-2a=-6

2a=6

a=3

substituting a=3 in eq.[1]

5a+b=3

5x(3)+b=3

15+b=3

b=3-15

ans: b=-12