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Mila [183]
3 years ago
12

If f(x)=2x+1 and g(x)=x2 find fg(3)​

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
8 0

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)\times g(x)

Using this rule, we get

fg(3)=f(3)\times g(3)

fg(3)=7\times 9

fg(3)=63

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

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