Question

How do you find the functional values \[f\left( 6 \right)\] given \[f\left( x \right) = - 4x\] ?

Answer 1

Hint: The f(x) represents the function or function of x. The function is represented as f(x) or by some other variable. Here the function of x is given and we have to substitute the value of x and we determine the value. Here in this question, we have to find the solution for x=6 on simplification we get the required value.

Complete step by step solution:
The given \[f(x)\] is the function of \[x\] , where \[x\] is the variable the given expression is also known as variable function.
Variable functions are functions that involve variables, which are symbols that represent changing quantities. The value of expression will change as the value of the variable changes.
Evaluating a variable expression means to find the value of the expression when the variable is (or variables are) replaced by a number (or numbers).
Now consider the given function
 \[ \Rightarrow f\left( x \right) = - 4x\]
Here there is a only one variable x in the function
To evaluate this function when x=6 means substitute 6 in the place of x, and by simplification find the number or value the resultant value is known as \[f\left( 6 \right)\] .
 \[ \Rightarrow f\left( 6 \right) = - 4\left( 6 \right)\]
on simplification, we get
 \[\therefore f(6) = - 24\]
Hence, the value of the variable function \[f\left( x \right) = - 4x\] at x=4 is \[f(6) = - 24\] .
So, the correct answer is “- 24”.

Note: The function is represented as a f(x), or it is represented by another variable. Most of the time it is represented as y. The value of the function depends on the value of x. By substituting the value of x we determine value of function. The function defines the relation of the x. To solve these kinds of problems we must be good or familiar with the arithmetic operations like addition, subtraction, multiplication and division.