Question

How do you evaluate the function $f(x)=3x-7$ for $f(6)$ ?

Answer 1

Hint: In this question, we have to find the value of an algebraic function given in the problem. Thus, we will use the substitution method and the basic mathematical rules to get the solution. First, we will substitute the value of x equal to 6 in the given function f(x). Then, we will use the distributive property on the right-hand side in the given equation. In the end, we will make the necessary calculations, to get the required result for the problem.

Complete step by step solution:
According to the question, we have to find the value of an algebraic function.
Thus, we will use the substitution method and the basic mathematical rules to get the solution.
The algebraic function given to us is $f(x)=3x-7$ --------- (1)
We start solving our problem by substituting the value 6 on the place of x that is putting the value $x=6$ in the equation (1), we get
$\Rightarrow f\left( 6 \right)=3\left( 6 \right)-7$
Now, we will apply the distributive property $a(b)=ab$ on the right-hand side in the above equation, we get
$\Rightarrow f\left( 6 \right)=18-7$
On further solving the above equation, we get
$\Rightarrow f\left( 6 \right)=11$ which is the required solution.
Therefore, when we substitute the value x=6 in the function $f(x)=3x-7$ , we get the value of the function equal to 11.

Note:
While solving this problem, do the step-by-step calculations to avoid mathematical error and confusion. Do mention the value of x, that is 6 in the function to get an accurate answer.