Question

If f(x) = 2x + 3 and g(x) = x2 + 1,find f(g(3)).

Answer 1

Hello,

f(g(3))=f(3²+1)=f(10)=2*10+3=23
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Answer 2

The value of f(g(3)) is 23.

Explanation:

The given functions are

`f(x)=2x+3`

`g(x)=x^2+1`

We have to find the value of f(g(3)).

Substitute x=3 in the function g(x) to find the value of g(3).

`g(3)=3^2+1=9+1=10`

`f(g(3))=f(10)` [g(3)=10]

Substitute x=10 in the function f(x) to find the value of f(10).

`f(10)=2(10)+3=20+3=23`

Therefore the value of f(g(3)) is 23.