Question

If a function f(x) is defined as (4x)/(1-x), what is the expression for f(x + h)

Answer 1

A

Explanation:

(4x+4h)/(1-x-h)

Answer 2

`f(x + h) = (4x + 4h)/(1 - x - h)`

EXPLANATION

The given expression is

`f(x) = (4x)/(1 - x)`

To find an expression for f(x+h), we substitute x+h, wherever we see x in the given expression.

This implies that,

`f(x + h) = (4(x + h))/(1 - (x + h))`

We simplify to obtain;

`f(x + h) = (4x + 4h)/(1 - x - h)`