Mathematics

Question

evaluate the indicated function for f(x)=x^2-7 and g(x) =x-2

1 Answer

  • Answer:

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

    (x-2)(x-2) - 7

    x^2-2x-2x+4-7

    x^2-4x-3

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

    x^2-9

    (x+3)(x-3)

    Step-by-step explanation:

    1. to solve for f(x), replace x with the g(x).
    2. since we don't multiply a bracket with the negative or the positive signs to the
    3. exponent, you have to factor into two binomials.
    4. use the FOIL method to eliminate the brackets.
    5. add like-terms

    • to find g(x), replace x with the f(x).
    • add like-terms
    • since there's difference of square, factor them into two binomials
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