Question

if f(x)= 2x+a, g(x)=b-2x,ff(4)=1 and g(2)=g^-1(2), find the value of a and b.​

Answer 1

Answer:

f(g(x))=

2−

1−2x

For given function to be defined,

1−2x≥0⇒x≤

2

1

And 2−

1−2x

≥0⇒

1−2x

≤2

⇒1−2x≤4⇒x≥−

2

3

Thus required domain is [−

2

3

,

2

1

]