If you know that f(x) + g(x) = x+ 3, then which of the following are possibilities for f(x) and g(x)? F(x)=X^2+ 2 and g(x)=x

f(x) = x^2 + 5x - 3 and g(x) = –x^2-4x+3

f(x) = 5x^3 - 4x^2 + 10x - 2 and g(2)+ 5x^3 + 4x^2 - 9x + 5

F(x) = 3x^2 + 5 and g(x) = - 2x^2 + x-2

Find the volume of the solid whose base is the region bounded by f(x), g(x) and the x-axis on the interval [0, 1], and whose cross-sections perpendicular to the y-axis are squares. your work must show the integral, but you may use your calculator to evaluate it. give 3 decimal places for your answe