Question

Evaluate the function \(f(x)=3 x-10\) for the given value of \(x .\) $$ x=20 $$

Short answer

The value of the function \(f(x) = 3x - 10\) at \(x = 20\) is 50.

Step-by-step solution

Identify the function and the substitution value

The function given is \(f(x) = 3x - 10\). The value that needs to be substituted for \(x\) in this function is \(x = 20\).

Substitute the value

Replace \(x\) in the function with 20, resulting in \(f(20) = 3 * 20 - 10\). The operation involves multiplication and subtraction.

Simplify the equation

Perform the multiplication before the subtraction, according to the order of operations (PEMDAS/BODMAS Rule). This results in \(f(20) = 60 - 10\). Continuing with the subtraction results in \(f(20) = 50\).