Question

F(x) = 2x+3, find f(x+h)-f(x)

Answer 1

Recall that to evaluate a function, we have to substitute the variable by the given value, in this case, the given value is

`x+h\text{.}`

Evaluating the given function at x+h, we get:

`2(x+h)+3,`

applying the distributive law, we get:

`2x+2h+3.`

Now we subtract f(x) from the above expression

`2x+2h+3-(2x+3)\text{.}`

Simplifying the above expression, we get:

`2h\text{.}`

Answer:

`2h\text{.}`