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Let f:N rarr R be the function defined b...

Let `f:N rarr R` be the function defined by `f(x)=(2x-1)/2` and `g:Q rarr Q` be another function defined by `g(x)=x+2` then `(gof)(3/2)` is

A

1

B

1

C

`(7)/(2)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
Given that, `f(x)=(2x-1)/(2)` and ` g(x)=x +2`
`(gof)(3)/(2)=g[f((3)/(2))]=g((2xx(3)/(2)-1)/(2))`
` " " =g(1)=1+2=3`
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NCERT EXEMPLAR-RELATIONS AND FUNCTIONS-Relations And Functions
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