Question

The function defined by f(x) = (x + 7)/(2x + 5) Find f(4x) .

Answer 1

Solution:

The question is given below as

$\begin{gathered} f(x)=\frac{x+7}{2x+5} \\ find, \\ f(4x) \end{gathered}$

Concept:

Substitute x with 4x in the function above

$\begin{gathered} f(x)=\frac{x+7}{2x+5} \\ f(4x)=\frac{4x+7}{2(4x)+5} \\ f(4x)=\frac{4x+7}{8x+5} \end{gathered}$

Hence,

The final answer is

$\Rightarrow f(4x)=\frac{4x+7}{8x+5}$