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Nata [24]
3 years ago
14

Find f(4) when f(x)=4x^2 - 2 x - 4

Mathematics
1 answer:
prisoha [69]3 years ago
8 0

Answer:

52

Step-by-step explanation:

f(x)=4x^2-2x-4

f(4)=4(4)^2-2(4)-4 (I replaced x with (4) since we are to find f(4).)

f(4)=4(16)-2(4)-4    (By the order of operations, we take care of the exponents before whatever else we have here.)

f(4)=64-8-4           (By the order of operations, we take care of the multiplication as we see if left to right.)

f(4)=56-4              (By the order of operations, we perform addition/subtraction as we see it left to right.)

f(4)=52                 (This completes the simplification.)

We could have also put this in our calculator as:

4(4)^2 -  2(4)  -  4

This would have returned 52.

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3 years ago
Let Ebe the set of all even positive integers in the universe Zof integers, and XE : Z R be the characteristic function of E.
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Answer:

\mathbf{X_E (2) =  1}

\mathbf{X_E (-2) = 0 }  

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Step-by-step explanation:

Let E be the set of all even positive integers in the universe Z of integers,

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X_E(x) = \left \{ {{1 \ if  \ x \ \  is \ an \ element \ of \ E} \atop {0 \ if  \ x \ \  is \ not \ an  \ element \ of \ E}} \right.

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This can be read as:

x which is and element of Z such that X is also an element of x which is equal to 1.

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\{ x \in Z: X_E(x) = 1\} = \{ x \in Z | x \in E\} \\ \\  \mathbf{\{ x \in Z: X_E(x) = 1\}  = E}

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