Answer :

Final answer:

The value of f(4) in the equation f(x) = -4(X + 3) - 14 is found by substituting '4' for 'x'. This simplifies to f(4) = -42, hence the answer is iii) -42.

Explanation:

To find the value of f(4) when f(x) = -4(x + 3) - 14, you substitute '4' for 'x' in the equation.

Therefore the equation becomes:

f(4) = -4(4 + 3) - 14

It simplifies to:

f(4) = -4*7 - 14

Which simplifies again to:

f(4) = -28 - 14

So, f(4) = -42, makes option iii) the correct answer.

Function evaluation is the process of determining the output or result of a mathematical function for a specific input or set of inputs.

In mathematics, a function is a rule or relationship that assigns each input value (often denoted as "x") to a unique output value (often denoted as "f(x)").

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