Question

If f(x)=ax-b,f(-2)=-4 and f(2)=4 find the value of a and b

Answer 1

Answer:

a=2 and b=0

Step-by-step explanation:

f(x)=ax-b

f(-2)= a*(-2)-b= -2a-b and according to the question, f(-2)=-4 So, -2a-b=-4...(i)

f(2)=a(2)-b and f(2)=4 So, 2a-b=4...(ii)

adding equation (i) and (ii)

-2b=0 So, b=0

putting the value of B in the equation (ii) we get-

2a-0=4

2a=4

a=2

So the value of a is 2 and b is 0