daaniel45 daaniel45

25-09-2021
Mathematics

contestada

f(x) = ax + b for x in R
Given that f(5) = 3 and f(3) = - 3 :
b. solve the equation ff * (x) = 4 .

Respuesta :

imtiazfaiza2006 imtiazfaiza2006

25-09-2021

Answer:

a=3, b=-12

Step-by-step 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

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