class 12 maths relations and functions

If $f:N \to R$ be the function defined by
$f(x) = \frac{{2x - 1}}{2}$ and $g:Q \to R$ be
another function defined by $g(x) = x + 2$.

Then, $(gof)\frac{3}{2}$ is

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📘 Relations and Functions NCERT Exemp.Q.45,Page 16 MCQ 1 mark

If $f:N \to R$ be the function defined by
$f(x) = \frac{{2x - 1}}{2}$ and $g:Q \to R$ be
another function defined by $g(x) = x + 2$.

Then, $(gof)\frac{3}{2}$ is

Official Solution

VVidaara Team ✓ Verified solution NCERT & Exemplar

It is given that,, $f(x) = \frac{{2x - 1}}{2}$ and $g(x) = x + 2$

$(gof)\frac{3}{2} = g\left[ {f\left( {\frac{3}{2}} \right)} \right] = g\left( {\frac{{2 \times \frac{3}{2} - 1}}{2}} \right)$

$= g(1) = 1 + 2 = 3$

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