16. Express f (x)=x² – x–6 in standard form.

Prove x²(x-y)² = x² -y²

Suppose that f(x) = x² – 5x + 7 has roots a and B. Use symmetric functions to find a + B, aß, a² + B², and a³ + B³.

Consider the function f(x)=x2+6(5x−10)(x+4)f(x)=x2+6(5x-10)(x+4). For each prompt below, if no solution exists - enter "DNE". If there is more than one solution, enter your answer as a comma-separated list (like "1, 3"). You may find it helpful to rewrite the numerator or denominator in a different form to help you complete some of the parts. Determine the vertical intercept of ff. f(0)=f(0)=    Determine the zeros (or "roots") of ff. x=x=    Determine the vertical asymptote(s) of ff. x=x=    Determine the horizontal asymptote of ff. y=y=

Define the functions /(x) =r + 2x - 3 and 8(x) =/x+6 (fog)(1) а. Find the value of (go)(1) Find the value of b.

Let k(x) = 1 -x4, where j(x) = y + k(x) and y = x6 - x2. Describe the graph of j(x) based on the zeroes of the function.

Let f(x) = 2x – 1, g(x) = 3x, and h(x) = x^2 + 1. Compute the following: A. f(g(-3)) B. f(h(7)) C. g(h(24))

Let f(x) = 7+ V6x - 8. Find f(x) f(x) =