NEED HELP SOLVING THIS

Question

f(x)=-2x^2+x-5 FIND: f(-1/3=

Answer 1

You need to evaluate this function when x is -1/3.

-2x^2 + x - 5 =

-2 * (-1/3)^2 + (-1/3) - 5 =

-2 * 1/9 + (-1/3) - 5 =

-2/9 + (-1/3) - 5 =

-2/9 + (-3/9) -5 =

-5/9 -5 = -5 5/9

The final solution is -5 and 5/9 (or -50/9) .

Answer 2

Solving for f(-1/3):

f(-1/3) = -2(-1/3)² + (-1/3) - 5

Plug in -1/3 for all x's in the equation

f(-1/3) = -2(1/9) - 1/3 - 15/3

Solve the exponential and break 5 down into a fraction (it helps later)

f(-1/3) = -2/9 - 16/3

Finish multiplication and combine like terms

f(-1/3) = -2/9 - 48/9

Use a common denominator of 9 to finish simplifying

f(-1/3) = -50/9