Question

1. Let f(x) = 7x2 – 5x + 3 and g(x) = 2x2 + 4x – 6.

Answer 1

Answer:

f(x) + g(x) = $9x^{2} - x - 3$

f(x) - g(x) = $5x^{2} - 9x + 9$

g(x) - f(x) = $-5x^{2} + 9x - 9$

Step-by-step explanation:

$f(x) = 7x^{2} - 5x + 3\ and\ g(x) = 2x^{2} + 4x - 6$

Case 1:

f(x) + g(x)

= $7x^{2} - 5x + 3 + (2x^{2} + 4x - 6)$

= $7x^{2} - 5x + 3 + (2x^{2} + 4x - 6)$

= $9x^{2} - x - 3$

Case 2:

f(x) - g(x)

= $7x^{2} - 5x + 3 - (2x^{2} + 4x - 6)$

= $7x^{2} - 5x + 3 - 2x^{2} - 4x + 6$

= $5x^{2} - 9x + 9$

Case3:

g(x) - f(x)

= $2x^{2} + 4x - 6 - (7x^{2} - 5x + 3)$

= $2x^{2} + 4x - 6 - 7x^{2} + 5x - 3$

= $-5x^{2} + 9x - 9$