Question

The function f is defined by f(x)= 2+x/ 1 + 2x Find f(z + 2)

Answer 1

The function of f(x) is given below as

`f\mleft(x\mright)=(2+x)/(1+2x)`

TO FIGURE OUT THE EXPRESSION FOR F(Z+2),WE WILL REPLACE THE VALUE OF X=Z+2

By replacing it, we will have

`\begin{gathered} f(x)=(2+x)/(1+2x) \\ f\lparen z+2)=(2+z+2)/(1+2\left(z+2\right)) \\ f\lparen z+2)=(2+2+z)/(1+2x+4) \\ f\lparen z+2)=(4+z)/(5+2z) \end{gathered}`

Hence,

The final expression for f(z+2) is

`\Rightarrow(4+z)/(5+2z)`