Find f g and fg when fx 2x2 4x 1 and gx 3x2 Solutionif f

Find f + g and f-g when f(x) = 2x^2 + 4x -1 and g(x) = 3x^2.

Solution

if f(x) = 2x²+4x-1 and g(x) = 3x² then...

f + g = 2x² +4x - 1 + 3x²

f+g = (2x²+3x²) + 4x - 1

f+g = 5x² + 4x - 1

now.... f-g

f-g = 2x²+4x -1 - 3x²

f-g = (2x²-3x²) + 4x - 1

f-g = -x² + 4x - 1