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Composite 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

A

11.00

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B

11.0

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C

11

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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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Similar questions

Let $F_{1}$ be the set of all parallelograms, $F_{2}$ the set of all reactangles, $F_{3}$ the set of all rhombuses, $F_{4}$ the set of all sqauares and $F_{5}$ the set of trapeziums in a plane. Then $F_{1}$ may be equal to

f : {2, 3, 4, 5} \to {3, 4, 5, 9}

g : {3, 4, 5, 9} \to {7, 11, 15}

be functions defined as

f (2) = 3, f (3) = 4

f (4) = f (5) = 5

g (3) = g (4) = 7

g (5) = g (9) = 11

f

f (2) = 3

f (3) = 5

g

g (3) = 2

g (5) = 6

. What is the value of

f (g (3))

?

f (x) = a x^{2} + b x + c, g (x) = p x^{2} + q x + r

f (1) = g (1), f (2) = g (2)

f (3) - g (3) = 2

f (4) - g (4)

f (x) = a x^{2} + b x + c

g (x) = p x^{2} + q x

g (1) = f (1), g (2) - f (2) = 1, g (3) - f (3) = 4,

g (4) - f (4)

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Composite Function

Standard XII Mathematics

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