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MATH / If f(x)=x³−6x²+3x−4, g(x)=x³+5x²+9x−2, then find the constant term of f(g(x)).

Problem

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problem

If f(x)=x3−6x2+3x−4f(x) = x^3 - 6x^2 + 3x - 4, g(x)=x3+5x2+9x−2g(x) = x^3 + 5x^2 + 9x - 2, then find the constant term of f(g(x))f(g(x)).
Plain-text mathematical notation (without MathML)
If f(x)=x³−6x²+3x−4, g(x)=x³+5x²+9x−2, then find the constant term of f(g(x)).
Original LaTeX notation
If $f(x) = x^3 - 6x^2 + 3x - 4$, $g(x) = x^3 + 5x^2 + 9x - 2$, then find the constant term of $f(g(x))$.

level

Level 5

type

Algebra

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Source and history

task_id
9da2a676-5e44-5bc7-a09c-0fe1b8fdbb17
task_key
algebra--test--9da2a676-5e44-5bc7-a09c-0fe1b8fdbb17
task_revision_id
1
config / split
algebra / test

Official source

initial import