Question

The function h is defined by Find h(x + 4) . h(x) = (3 + 2x)/(- 2 + x)

Answer 1

h(x + 4) = (11 + 2x)/(2 + x)

Step-by-step explanation:

The given expression is

`h(x)=(3+2x)/(-2+x)`

To find h(x + 4), we need to replace x by x + 4 on the expression above, so

`h(x+4)=(3+2(x+4))/(-2+(x+4_))`

Simplifying, we get

`\begin{gathered} h(x+4)=(3+2(x)+2(4))/(-2+x+4) \\ h(x+4)=(3+2x+8)/((-2+4)+x) \\ h(x+4)=(11+2x)/(2+x) \end{gathered}`

Therefore, the answer is

h(x + 4) = (11 + 2x)/(2 + x)