Find $$ \frac{f(x+n)-f(x)}{h} $$ 1) $$ f(x)=x $$

Question

UpStudy AI · Accepted Answer

Given the function $$ f(x) = x $$, we want to find the expression:

$$
\frac{f(x+n) - f(x)}{h}
$$

Let's substitute $$ f(x) $$ into the expression:

1. Calculate $$ f(x+n) $$:
$$
f(x+n) = x + n
$$

2. Calculate $$ f(x+n) - f(x) $$:
$$
f(x+n) - f(x) = (x + n) - x = n
$$

3. Divide by $$ h $$:
$$
\frac{f(x+n) - f(x)}{h} = \frac{n}{h}
$$

So, the final result is:

$$
\frac{n}{h}
$$

**Answer:** After simplifying, the expression is equal to n divided by h. Thus,

n ⁄ h
The expression simplifies to $$ \frac{n}{h} $$.

Find \( \frac{f(x+n)-f(x)}{h} \) 1) \( f(x)=x \)