Algebra

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Given that f(x) = x^2-3 and g(x) = 2x+1, find each of the following, if it exists.

a. (fg)(-root3)

b. (gf)(-1/2)

  • Algebra -

    do you mean f(g(x)) ?

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

    then (f(g(-√3))
    = (-2√3 + 1)^2 - 3
    = 12 - 4√3 + 1 - 3
    = 10 - 4√3

    do the other one the same way
    remember this time you want
    g(f(x))
    = g(x^2-3)
    = 2(x^2-3) + 1

  • Algebra -

    The first one was (fg)(-root3). Does this answer your ? Thanks for the help!

  • Algebra -

    What happend to the (-1/2) in the second problem?

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