Let f(x)={x^2-4x+3,x<3x-4,xgeq3 a n dg(...

Let `f(x)={x^2-4x+3,x<3x-4,xgeq3` `a n dg(x)={x-3,x<4x^2+2x+2,xgeq4` then which of the following is/are true? `(f+g)(3. 5)=0` `f(g(3))=3` `(fg)(2)=1` (d) `(f-g)(4)=0`

`(f+g)(3.5)=0`

`f(g(3))=3`

`(fg)(2)=1`

`(f-g)(4)=0`

Text Solution

Verified by Experts

The correct Answer is:

A, B, C

`(f+g)(3.5)=f(3.5)+g(3.5)=(-0.5)+0.5=0`
`f(g(3))=f(0)=3`
`(fg)(2)=f(2)g(2)=(-1)xx(-1)=1`
`(f-g)(4)=f(4)-g(4)=0-26 = -26`

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