Question

Let f(x) = 1 + x, g(x) = x² + x + 1, then (f + g) (x) at x = 0 is ______.

Options

• 2

• 5

• 6

• 9

Answer 1

Let f(x) = 1 + x, g(x) = x² + x + 1, then (f + g) (x) at x = 0 is 2.

Explanation:

We have f(x) = 1 + x, g(x) = x² + x + 1

∴ (f + g) (x) = f(x) + g(x)

= 1 + x + x² + x + 1

= x² + 2x + 2

∴ (f + g) (0) = (0)² + 2(0) + 2 = 2.