Question

Evaluate the function \(f(x)=3 x-10\) for the given value of \(x .\) $$ x=\frac{2}{3} $$

Short answer

The value of the function \(f(x) = 3x - 10\) at \(x = \frac{2}{3}\) is -8.

Step-by-step solution

Substitute the value of x

Replace the variable \(x\) in the function \(f(x) = 3x - 10\) with the given value \(x = \frac{2}{3}\). This results in a new expression \(f( \frac{2}{3}) = 3* \frac{2}{3} - 10\).

Perform the multiplication

Now calculate the product in the expression. Multiply 3 by \(\frac{2}{3}\) to get 2. So the new expression is \(f( \frac{2}{3}) = 2 - 10\).

Perform the subtraction

Finally, subtract 10 from 2 to find the value of the function. \(f( \frac{2}{3}) = 2 - 10 = -8\).