Question

if f(x)=2x+3,x>=2=3x-1,x<2, find the value of f(4) and f(1)

Answer 1

Answer:

The given question is Piece wise Defined Function.

⇒ f(x) = 2x + 3, if x ≥ 2, f(x) = 3x - 1, if x < 2

We have to find the values of f(4) and f(1).

f(4) means x = 4 which is greater than 2. Hence f(x) must be ( 3x - 1 ).

⇒ f(4) = 3 ( 4 ) - 1

⇒ f(4) = 12 - 1

⇒ f(4) = 11

f(1) means x = 1 which is less than 2. Hence f(x) must be ( 2x + 3 ).

⇒ f(1) = 2 ( 1 ) + 3

⇒ f(1) = 2 + 3

⇒ f(1) = 5

Therefore f(4) = 11 and f(1) = 5.