Question

Let f: N → R be the function defined by f(x) = `(2x - 1)/2` and g: Q → R be another function defined by g(x) = x + 2. Then (g o f) `3/2` is ______.

Options

• 1

• 1

• `7/2`

• None of these

Answer 1

Let f: N → R be the function defined by f(x) = `(2x - 1)/2` and g: Q → R be another function defined by g(x) = x + 2. Then (g o f) `3/2` is none of these.

Explanation:

We have f(x) = `(2x - 1)/2` and g(x) = x + 2

gof`(3/2)` = g`(f(3/2))`

= `"g"((2 xx 3/2 - 1)/2)`

= g(1) = 1 + 2

= 3