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F(x) = 3x² + 2x - 20 for x = 3

help please?​

User GiovaZ
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2 Answers

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23 votes

Explanation:

A function is a relationship bound to one output for every single input the value of F(3) for the given function F(x)=3x²+2x-20 is 13.

What is a function?

The function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.

A certain kind of relationship called a function binds inputs to essentially one output.

As per the given function,

F(x)=3x²+2x-20

Substitute, x = 3

F(3) = 3(3)^2 + 2(3) - 20

F(3) = 3(9) + 6 - 20

F(3) = 13

Hence "A function is a relationship bound to one output for every single input the value of F(3) for the given function F(x)=3x²+2x-20 is 13".

For more about the function,

User Woodpav
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Evaluating Functions

When we're given f(x) and x, we can evaluate the function by replacing every x with the given value, and simplifying.

Solving the Question


f(x) = 3x^2 + 2x - 20

⇒ Replace every x with 3:


f(3) = 3(3)^2 + 2(3) - 20\\\\f(3) = 3(9) + 6 - 20\\\\f(3) = 27 + 6 - 20\\\\f(3) = 13

Answer


f(3) = 13

User MrJustin
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