The function f(x) = x^2-1 when evaluated with 2, gives the value 3.
A function can then be defined as a set of ordered pairs. Function is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
For the given situation,
Stan evaluated a function with a value and got 3 as the result.
For this statement, we can frame many functions with different inputs.
Let us consider the function,
(1) [tex]f(x)=2x-3[/tex]
Now substitute x = 3,
⇒ [tex]f(3)=2(3)-3[/tex]
⇒ [tex]f(3)=6-3\\[/tex]
⇒ [tex]f(3)=3[/tex]
(2) [tex]f(x)=x^{2} -1\\[/tex]
Now put x = 2,
⇒ [tex]f(2)=2^{2}-1[/tex]
⇒ [tex]f(2)=4-1[/tex]
⇒ [tex]f(2)=3[/tex]
Similarly we can make many functions that has the value 3 as the result.
Hence we can conclude that the function f(x) = x^2-1 when evaluated with 2, gives the value 3.
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