Question

6. If f(x)= 2x + 5 and g(x)= x2+2x+1 using combination find:

a) f(x) + g(x)

b) f(x) .g(x)​

Answer 1

If f(x) = 2x + 5 and g(x) = x²-2x+1

Then,

a) f(x) + g(x)

➜ 2x + 5 + x² - 2x + 1

➜ x² + 6

b) f(x) . g(x)

➜ (2x + 5) (x² - 2x + 1)

➜ 2x³ - 4x² + 2x + 5x² - 10x + 5

➜ 2x³ - x² - 8x + 5

Answer 2

Answer:

f(x) + g(x) = 6(x+1)

f(x) × g(x) = 8x²+5

Step-by-step explanation:

f(x) + g(x)

= (2x + 5) + (2x + 2x + 1)

= (2x + 5) + (4x +1)

= 2x + 4x + 5 + 1

= 6x + 6

or, 6(x+1)

f(x) × g(x)

= (2x + 5) × (2x + 2x +1)

= (2x + 5)(4x + 1)

= (2x × 4x) + (5 × 1)

= 8x² + 5