Question

Evaluate the following function giving an value of x.

Answer 1

`\huge\text{Hey there!}`

If x = -3

`\mathtt{f(x) = x^2 - 3x + 8}\\\\\\\mathtt{f(x) = -3^2 - 3(-3) + 8}\\\\\\\mathtt{f(x) = -3*-3 - 3(-3) + 8}\\\\\\\mathtt{f(x) = 9 - (-9) + 8}\\\\\\\mathtt{f(x) = 9 + 9 + 8}\\\\\\\mathtt{f(x) = 18 + 8}\\\\\\\mathtt{f(x) = 26}\\\\\\\\\\\huge\text{Therefore your answer should be:}\\\\\\\huge\boxed{\mathtt{f(x) = 26}}\huge\checkmark`

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`\frak{Amphitrite1040:)}`

Answer 2

`\large\boxed{\tt f(-3)=26}`

Explanation:

`\textsf{For this problem, we are asked to evalulate the function given the value of x.}`

`\textsf{Note that because x equals -3, x will equal -3 for all the variables on the right side.}`

`\large\underline{\textsf{We should have;}}`

`\tt f(-3)=(-3)^(2)-3(-3)+8`

`\textsf{Let's start by evaluating the right side of the function.}`

`\tt f(-3)=(-3 * -3)+9+8`

`\textsf{Note that a negative multiplied by a negative equals a positive term.}`

`\tt f(-3)=9+9+8`

`\large\boxed{\tt f(-3)=26}`