Question

F(x) = 8x2 – 2x + 3

g(x) = 12x2 + 4x – 3

What is h(x) = f(x) – g(x)?

Answer 1

Answer:
`h(\text{x}) = -4\text{x}^2 - 6\text{x} + 6`

Work Shown:

`h(\text{x}) = f(\text{x}) - g(\text{x})\\\\h(\text{x}) = ( 8\text{x}^2 - 2\text{x} + 3) - ( 12\text{x}^2 + 4\text{x} - 3 )\\\\h(\text{x}) = 8\text{x}^2 - 2\text{x} + 3 - 12\text{x}^2 - 4\text{x} + 3 \\\\h(\text{x}) = (8\text{x}^2-12\text{x}^2) + (- 2\text{x} - 4\text{x}) + (3 + 3) \\\\h(\text{x}) = -4\text{x}^2 - 6\text{x} + 6 \\\\`