Question

If f(x) = x2 -2 and g(x) - x-3, what is(fºg)(x)?

Answer 1

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Answer:

f(g(x)) = x^2 -6x +7

Explanation:

Substitute g(x) as the argument for f(x) and simplify.

f(g(x)) = f(x -3) = (x -3)^2 -2

f(g(x)) = x^2 -6x +9 -2

f(g(x)) = x^2 -6x +7