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

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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{.}

User Vinay Kumar Chella
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