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kykrilka [37]
3 years ago
5

F(x) = x2+ x–1 and g(x) = x+ 3, what is f o g(x)

Mathematics
1 answer:
Naddika [18.5K]3 years ago
4 0

Answer:

Step-by-step explanation:

f(x) = x^2 + x - 1\\g(x) = x +3\\\\\\(f\:o\:g)(x) = f(g(x))

we input the function g(x) into every x in f(x)

f(g(x)) = (x+3)^2 + (x + 3) - 1\\f(g(x)) = x^2 + 6x + 9 + x + 3 - 1\\f(g(x)) = x^2 + 7x + 11

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\huge\mathfrak\orange{answer}

Simplify this quadratic function given in vertex form into standard form by simplifying the exponents and adding like terms.

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