Question

F(x)=-2/3x+5What is f(-1/2)?.........

Answer 1

We replace x = -1/2 into the function.

`\begin{gathered} f\mleft(x\mright)=-(2)/(3)x+5 \\ f(-(1)/(2))=-(2)/(3)(-(1)/(2))+5 \end{gathered}`

Now, we operate on the right side.

`\begin{gathered} f(-(1)/(2))=(2)/(3)\cdot(1)/(2)+5 \\ f(-(1)/(2))=(2\cdot1)/(3\cdot2)+5 \\ f(-(1)/(2))=(1)/(3)+5 \\ f(-(1)/(2))=(1)/(3)+(15)/(3) \\ f(-(1)/(2))=(1+15)/(3) \\ f(-(1)/(2))=(16)/(3) \end{gathered}`

Therefore, the result of evaluating the function at the given value is 16/3.