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24. DETAILS GHCOLALG12 3.5.042. MY NOTES ASK YOUR TEACHER The equation defines a one-to-one function f. f(x ) = (x+ 5)3 Determine f- 1. f - 1 ( x ) = Verify that fo f and fo f are both the identity function. ( for - 1 ) ( x ) = F(F - 1 ( x ) ) X X X (F - 1 of ) ( x ) = f-1(f(x)) = f Y - 5 X - 5 X = X21. DETAILS GHCOLALG12 3.4.030. MY NOTES ASK YOUR TEACHER Let f(x) = x2 - 1 and g(x) = 2x - 3. Find the value, if possible. (If not possible, enter IMPOSSIBLE.) (f - 9) (-5) (f - 9)(-5) = -5f+58 X15 DETAILS GHCOLALG12 3.4.027. MY NOTES ASK YOUR TEACHER Let f(x) = x2 - 2 and g(x) = 3x - 2. Find the value, if possible. (If not possible, enter IMPOSSIBLE.) (f + g) (2) (f + 9) (2 ) = 2f+ 28 X12 DETAILS GHCOLALG12 4.5.005. MY NOTES ASK YOUR TEACHER Use the Rational Zero Theorem to list all possible rational zeros of the polynomial function. (Enter your answers as a comma-separated list.) P(x) = x' + 11x