Question

If given f(x)= 2x^(2) +5 and g(x)= 1/2x
whats:
f+g
f-g
fg
f/g​

Answer 1

To find f+g, we need to add f(x) and g(x):

f(x) + g(x) = (2x^(2) +5) + (1/2x)

f+g = 2x^(2) + (1/2)x + 5

To find f-g, we need to subtract g(x) from f(x):

f(x) - g(x) = (2x^(2) +5) - (1/2x)

f-g = 2x^(2) - (1/2)x + 5

To find fg, we need to multiply f(x) and g(x):

f(x) * g(x) = (2x^(2) +5) * (1/2x)

fg = x + (5/2)x^(-1)

To find f/g, we need to divide f(x) by g(x):

f(x) / g(x) = (2x^(2) +5) / (1/2x)

f/g = 4x + 10x^(-1)