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# Let F and G Be Two Real Functions Given by F = {(0, 1), (2, 0), (3, −4), (4, 2), (5, 1)} and G = {(1, 0), (2, 2), (3, −1), (4, 4), (5, 3)} Find the Domain of Fg. - CBSE (Science) Class 11 - Mathematics

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#### Question

Let f and g be two real functions given by

f = {(0, 1), (2, 0), (3, −4), (4, 2), (5, 1)} and g = {(1, 0), (2, 2), (3, −1), (4, 4), (5, 3)}

Find the domain of fg.

#### Solution

It is given that f and g are two real functions such that

f = {(0, 1), (2, 0), (3, −4), (4, 2), (5, 1)}

and g = {(1, 0), (2, 2), (3, −1), (4, 4), (5, 3)}

Now,

Domain of f = Df = {0, 2, 3, 4, 5}

Domain of g = Dg = {1, 2, 3, 4, 5}

∴ Domain of fg = Df ∩ Dg = {2, 3, 4, 5}

Is there an error in this question or solution?

#### APPEARS IN

RD Sharma Solution for Mathematics Class 11 (2019 to Current)
Chapter 3: Functions
Ex.3.50 | Q: 18 | Page no. 42
Solution Let F and G Be Two Real Functions Given by F = {(0, 1), (2, 0), (3, −4), (4, 2), (5, 1)} and G = {(1, 0), (2, 2), (3, −1), (4, 4), (5, 3)} Find the Domain of Fg. Concept: Functions.
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