Question

If f(x)=2x+1 and g(x)=x2 find fg(3)​

Answer 1

Given:

The functions are:

`f(x)=2x+1`

`g(x)=x^2`

To find:

The value of
`fg(3)`.

Solution:

We have,

`f(x)=2x+1`

`g(x)=x^2`

Substitute
`x=3` in each function.

`f(3)=2(3)+1`

`f(3)=6+1`

`f(3)=7`

And,

`g(3)=(3)^2`

`g(3)=9`

We know that, product of two functions is defined as:

`fg(x)=f(x)* g(x)`

Using this rule, we get

`fg(3)=f(3)* g(3)`

`fg(3)=7* 9`

`fg(3)=63`

Therefore, the value of
`fg(3)` is 63.