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Find (fog)(2) and (gof)(-2)

f(x)=Square root of 4-x; g(x)=1-3x^2

Show work.

  • Math -

    f(g) = sqrt(4-g) = sqrt(4-(1-3x^2)) = sqrt(3+3x^2)
    f(g(2)) = sqrt(3+12) = sqrt(15)

    or, g(2) = 1-12 = -11
    f(-11) = sqrt(4+11) = sqrt(15)

    do g(f) the same way.

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