The function h is defined by h(x) .

6+x/4+2x

Find h(2x)

I bet you mean

(6+x)/(4+2x)
put in 2x for x

(6+2x)/(4+4x)

2(3+x)/4(1+x)

(3+x)/(2+2x)

thanks

To find h(2x), we need to substitute 2x into the function h(x).

The function h(x) is defined as:
h(x) = (6 + x) / (4 + 2x)

To find h(2x), we replace every occurrence of "x" in the function with "2x".

h(2x) = (6 + (2x)) / (4 + 2(2x))

Simplifying inside the parentheses:

h(2x) = (6 + 2x) / (4 + 4x)

Now we can simplify further if needed.