Question

Plzzz Helpp with this!!!!

Answer 1

f(g(11)) = -6

Solution:

Given data:

`f(x)=x^(2)-6 x+3`

`g(x)=√(x-2)`

To find f(g(11)):

Substitute x = 11 in g(x).

`g(11)=√(11-2)`

`=√(9)`

`g(11)=3`

Substitute g(11) = 3 in f(g(11)).

`f(g(11))=f(3)`

`f(x)=x^(2)-6 x+3`

`f(3)=3^(2)-6 (3)+3`

`f(3)=9-18+3`

`f(3)=-6`

`f(g(11))=f(3)`

= -6

Hence f(g(11)) = -6.