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

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

So we know that f (x) = 4 x + 2 and g (x) = x - 4

Plug in the values of f (x) and g (x) and get ...

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

Simplify ...

h (x) = 5x-2

but, that answer is not listed, so its 4x+x-2

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.