Question

True or False:

1. f(x) = -x^3 + x + 1 is an odd function

2. f(x) = x^3 -ax^2 + bx represents a cubic equation having no constant term ...(I'm thinking true?)

3. If f(x) = x/x+2 then f^-1 (x) = 2x/1-x ...(my guess is false?)

4. The equation x^3 - 12x + 16 = 0 has a double root at x = -4

Answer 1

1. check if f(x)=-f(-x)
2. correct
3. If f(x)=x/(x+2)
solve for y in x=y/(y+2) where y=f^-1(x)
4. Substitute x=-4 in the equation and see if the left-hand-side vanishes.

Answer 2

true