#### 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* = *D** _{f} *= {0, 2, 3, 4, 5}

Domain of

*g = D*

_{g}_{ }= {1, 2, 3, 4, 5}

∴ Domain of

*f*

*g*=

*D*∩

_{f}*D*

*= {2, 3, 4, 5}*

_{g} Is there an error in this question or solution?

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.