The function h is defined by h(x) .
6+x/4+2x
Find h(2x)
h(2x) = 6 + 2x/4 + 2(2x),
h(2x) = 6 + x/2 + 4x = 9x/2 + 6.
To find h(2x), we need to substitute 2x into the function h(x).
Given: h(x) = (6 + x) / (4 + 2x)
Replacing x with 2x, we have:
h(2x) = (6 + 2x) / (4 + 2(2x))
Now we simplify the expression:
h(2x) = (6 + 2x) / (4 + 4x)
This is the value of h(2x).