Keywords:
Equation, simplified, variable, compare
For this case, we have an equation of the form\(y = f (x)\), where \(f (x) = 3 (4x - 6)\). The equation was simplified and we want to find the value of\(f (x)\)when the variable\(x = 2\) and compare the result of both equations. So:
\(f (x) = 3 (4x - 6)\)(1)
We apply distributive property to simplify, taking into account that: \(a (b + c) = ab + ac\)
\(f (x) = 12x-18\) (2)
If \(x = 2\), we substitute in the original equation and in the simplified equation:
1) \(f (2) = 3 (4 (2) - 6) = 3 (8-6) = 3 * 2 = 6\)
2) \(f (2) = 12 (2) -18 = 24-18 = 6\)
Thus, when\(x = 2\) is substituted in both expressions, the result is 6.
Answer:
For \(f (x) = 3 (4x - 6)\) and \(f (x) = 12x-18\), substituting\(x = 2\) we have the result is 6.
