If f(x)=1-x+x^2 and g(x)= square root of 5+x what is (f of g) (4)

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02-12-2021
Mathematics

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If f(x)=1-x+x^2 and g(x)= square root of 5+x what is (f of g) (4)

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loneguy loneguy · Answer 1 · 2021-12-02T21:03:01+01:00

loneguy loneguy

02-12-2021

[tex]f(x) = 1-x +x^2 \\\\g(x) = \sqrt{5+x} \\\\g(4) = \sqrt{5+4} = \sqrt 9 =3\\\\(f \circ g)(4)\\\\=f(g(4))\\\\=f(3)\\\\=1-3+3^2 \\\\=-2+9\\\\=7[/tex]

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