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kramer
3 years ago
8

Plzzz Helpp with this!!!!

Mathematics
1 answer:
Travka [436]3 years ago
6 0

f(g(11)) = -6

Solution:

Given data:

f(x)=x^{2}-6 x+3

g(x)=\sqrt{x-2}

<u>To find f(g(11)):</u>

Substitute x = 11 in g(x).

g(11)=\sqrt{11-2}

        =\sqrt{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.

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Remember that when we take a limit to a given value, we approach to that value by two directions (from above and below) and see at which value the function approaches.

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