To find (f(x))(g(x)), we need to multiply the functions f(x) and g(x).
(f(x))(g(x)) = (x^2 - 16/x^2 + 3x - 10)(x^2 - 4/x^2 - 7x + 12)
Multiplying these two polynomials gives:
(f(x))(g(x)) = x^4 - 4 + 3x^3 - 12x - 16/x^2 - 64/x^2 - 21x^2 + 84x - 30 - 48/x^2 + 60/x + 20/x - 120/x
Combining like terms, we get:
(f(x))(g(x)) = x^4 + 3x^3 - 21x^2 - 87x - 124 - 48/x^2 + 80/x - 40/x
Therefore, (f(x))(g(x)) = x^4 + 3x^3 - 21x^2 - 87x - 124 - 48/x^2 + 80/x - 40/x.
Consider functions f and g.
f(x) = x^2−16/x^2+3x−10, for x≠-5 and x≠2
g(x) = x^2−4/x^2−7x+12, for x≠3 and x ≠4
What is (f(x))(g(x))
1 answer