If f(x)=x 2 -5x+7,evaluate f(2)-f(-1)+f(1/3)

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asked Oct 8, 2024 58.2k views

1 Answer

Murmel · Answer 1 · 2024-10-11T22:40:20+0000

To evaluate the expression f(2) - f(-1) + f(1/3), substitute the given values into the function f(x) and perform the calculations.

To evaluate the expression f(2) - f(-1) + f(1/3), we substitute the given values into the function f(x).

First, we evaluate f(2), which means substituting 2 into the function: f(2) = (2^2) - 5(2) + 7 = 4 - 10 + 7 = 1.

Next, we evaluate f(-1): f(-1) = (-1^2) - 5(-1) + 7 = 1 + 5 + 7 = 13.

Finally, we evaluate f(1/3): f(1/3) = (1/3)^2 - 5(1/3) + 7 = 1/9 - 5/3 + 7 = 29/9.

Now we substitute these values back into the original expression: f(2) - f(-1) + f(1/3) = 1 - 13 + 29/9 = 1 - 13 + 29/9 = -23/9.