Let f(a) = 6 – V22 + 1 and g(2) = 2 – 2. Then (fog)(5)...

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Question

math algebra

Answer 1

Answer #1

$\small f(x) = 6-\sqrt{x^{2}+1}\textup{ and }g(x)=x-2$

$\small f(g(x))=6-\sqrt{(x-2)^{2}+1}=6-\sqrt{x^{2}-4x+4+1}=6-\sqrt{x^{2}-4x+5}$

$\small \boldsymbol{f(g(x))=6-\sqrt{x^{2}-4x+5}}$

$\small f(g(5))=6-\sqrt{5^{2}-4(5)+5}$

$\small f(g(5))=6-\sqrt{25-20+5}$

$\small \boldsymbol{f(g(5))=6-\sqrt{10}}$

Answer 2

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