Find the function h(x) = f(x) + g(x) if f(x) = 4 x + 2 and g(x) = x - 4. h(x) = 4x + x + 6 h(x) = 4x + 1 -2 h(x) = 4x + x - 2 h(x) = 4x - 4

3rd Option is correct.

Step-by-step explanation:

Given:

h(x) = f(x) + g(x)

f(x) = 4x + 2

g(x) = x - 4

We need to find : h(x)

Consider,

h(x) = f(x) + g(x)

h(x) = ( 4x + 2 ) + ( x - 4 )

h(x) = 4x + 2 + x - 4

h(x) = 4x + x + 2 - 4

h(x) = ( 4 + 1 )x + (-2)

h(x) = 5x - 2

h(x) = 4x + x - 2

Therefore, 3rd Option is correct.

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form