Question

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

Answer 1

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

Answer 2

3rd Option is correct.

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.