How to Evaluating Functions?

Replace the variable with the given value

Simplify using order of operations

Compute the result

If there are multiple variables, substitute each given value

If the function is written in notation like f(x), evaluate by finding f at the specified input

If the input is an expression, substitute the entire expression into the function

If the function includes fractions, simplify carefully

If the function includes exponents, apply exponent rules before simplifying

If the function includes radicals, evaluate the radical after substitution

If the function is piecewise, use the rule that matches the input value

Check for domain restrictions before evaluating

Verify the final answer by rechecking the substitution and arithmetic

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