If f:N R be the function defined by f(x) = 2 and g:Q R be another function defined by g(x) = x + 2 . Then, (gof) 2 is

It is given that,, f(x) = 2 and g(x) = x + 2 (gof) 2 = g = g ( 2 - 1 2 ) = g(1) = 1 + 2 = 3

Relations and Functions — Class 12 Maths Solution

exemplar objective MCQ NCERT Exemp.Q.45,Page 16

Question

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

Step-by-step Solution

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

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

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

NCERT & Exemplar solution for CBSE Class 12 Mathematics, Relations and Functions. Curated by Sachin Sharma. Free for all students.