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Standard XII

Mathematics

Continuity of a Function

Let f:2,3,4,5...

Question

Let $f : {2, 3, 4, 5} \to {3, 4, 5, 9}$ and $g : {3, 4, 5, 9} \to {7, 11, 15}$ be functions defined as $f (2) = 3, f (3) = 4, f (4) = f (5) = 5$ and $g (3) = g (4) = 7$ and $g (5) = g (9) = 11.$ Then $g o f (5)$ is

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Solution

We have
$g o f (5) = g (f (5)) = g (5) = 11$
Thus $g o f (5) = g (5) = 11$

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Continuity of a Function

Standard XII Mathematics

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Let f:{2,3,4,5}→{3,4,5,9} and g:{3,4,5,9}→{7,11,15} be functions defined as f(2)=3,f(3)=4,f(4)=f(5)=5 and g(3)=g(4)=7 and g(5)=g(9)=11. Then gof(5) is

We have gof(5)=g(f(5))=g(5)=11 Thus gof(5)=g(5)=11

Let $f : {2, 3, 4, 5} \to {3, 4, 5, 9}$ and $g : {3, 4, 5, 9} \to {7, 11, 15}$ be functions defined as $f (2) = 3, f (3) = 4, f (4) = f (5) = 5$ and $g (3) = g (4) = 7$ and $g (5) = g (9) = 11.$ Then $g o f (5)$ is

We have
$g o f (5) = g (f (5)) = g (5) = 11$
Thus $g o f (5) = g (5) = 11$