F(x) = 3x^(2) - 2x + 3if (-3,n) is an element of the function what is the value of n?

Question

`f(x) = 3x^(2) - 2x + 3`if (-3,n) is an element of the function what is the value of n?

Answer 1

`\begin{gathered} f(x)=3x^2\text{ - 2x + 3 } \\ \text{Here, (-3, n) can be written as (x, y), where x = -3 and y = n} \\ \text{Also y is also = f(x). } \\ \text{That is y = }3x^2\text{ - 2x + 3 } \end{gathered}`

Now putting x = -3 into f(x) or y, we have that

`\begin{gathered} y=3(-3)^2\text{ -2(-3) + 3} \\ y\text{ = 3(9) + 6 + 3} \\ y\text{ = 27 + 6 + 3} \\ y\text{ = 36. } \\ \text{Since y = n, therefore, n = 36. } \end{gathered}`

The value of n is 36