milimogloria19
milimogloria19 milimogloria19
  • 23-02-2022
  • Mathematics
contestada

if f(x) = ax + b where a and b are Costants f(1) = 6and f(-2)=3, find the value of a and b?​

Respuesta :

semsee45
semsee45 semsee45
  • 23-02-2022

Answer:

a = 1

b = 5

⇒ f(x) = x + 5

Step-by-step explanation:

Given

  • f(x) = ax + b
  • f(1) = 6
  • f(-2) = 3

Therefore,

f(1) = 6    ⇒   a + b = 6

f(-2) = 3   ⇒   -2a + b = 3

Rewrite a + b = 6 to make a the subject, substitute into  -2a + b = 3  and solve for b:

a = 6 - b

⇒ -2(6 - b) + b = 3

⇒ -12 + 2b + b = 3

⇒ -12 + 3b = 3

⇒  3b = 15

⇒  b = 5

Substitute found value for b into  a + b = 6  and solve for a:

⇒ a + 5 = 6

⇒ a = 1

Therefore, f(x) = x + 5

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