Question

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

Answer 1

Answer:

The function of f(x) is given below as

$f\mleft(x\mright)=\frac{2+x}{1+2x}$

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

By replacing it, we will have

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

Hence,

The final expression for f(z+2) is

$\Rightarrow\frac{4+z}{5+2z}$