Question

Let A={-1,1} and B={0,2}. If the function f:A to B defined by f(x)=ax+b is an onto function, then the value of a and b is

Answer 1

Answer:

a=1 b=1

Step-by-step explanation:

A=(-1,1)

B=(0,2)

f(x)= ax+b

Taking the values of A

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

=-a+b equation 1

f(1)=a(1)+b

=a+b equation 2

since it is an onto function

range equals to pre image

-a + b = 0

a + b = 2

on simplifying

-a + b = o

a + b = 2

2b = 2

b = 2/2

b = 1

Substitute the value of b in any one of the equatio

I am taking equation 2

a + b = 2

a + 1 = 2

a = 2-1

a =1

therefore a=1 and b=1

I hope this helps !!!