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2 years ago

Help me with another question please.

Mathematics

1 answer:

loris [4]2 years ago

8 0

Answer:

Yes, because it is a ratio, it is a proportional relationship.

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Travka [436]

f(g(11)) = -6

Solution:

Given data:

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

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

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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2 years ago