Question

f(x) = 3x2 + 5x – 2g(x) = 5x3 - 4x2 + 4Find (f + g)(x)A. (f +g)(x) = 5x3 + 3x2 + x + 2B. (f + g)(x) = 5x3 – x2 + 5x + 2c. (f +g)(x) = 8x3 + x + 2D. (f + g)(x) = -5x3 + 7x2 + 5x - 6

Answer 1

the function (f+g)(x) is given by f(x) + g(x), that is

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

By combining similar terms, we get

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

which gives

$(f+g)(x)=5x^3-x^2+5x+2$

therefore, the answer is option B.