Question

Consider the function f(x)=−2/3x +5 . What is f(2/5)

Answer 1

To calculate f(2/5) for the function f(x)=-2/3x + 5, substitute 2/5 into the function and simplify to get 71/15.

Step-by-step explanation:

Calculating f(2/5) for the Function f(x) = -2/3x + 5

To find the value of the function f(x) = -2/3x + 5 when x is 2/5, we substitute x with 2/5 into the equation and perform the following steps:

1. Substitute x with 2/5: f(2/5) = -2/3 * (2/5) + 5.
2. Multiply the coefficients: -2/3 * 2/5 = -4/15.
3. Add the result to 5: -4/15 + 5.
4. Convert 5 to a fraction with a common denominator: 5 = 75/15.
5. Combine the fractions: -4/15 + 75/15 = 71/15.
6. So, f(2/5) = 71/15.

Therefore, the value of the function f(x) when x is 2/5 is 71/15.