Question

Evaluate the following function giving an value of x.

Answer 1

`\huge\text{Hey there!}`

`\mathsf{f(x) = 3x^3 - 5x - 4}\\\\\mathsf{f(x) = 3(2)^3 - 5(2) - 4}\\\\\mathsf{f(x) = 3(2^3) - 5(2) - 4}\\\\\mathsf{f(x) = 3(2*2*2) - 5(2) - 4}\\\\\mathsf{f(x) = 3(4*2) - 5(2) - 4}\\\\\mathsf{f(x) = 3(8) - 5(2) - 4}\\\\\mathsf{f(x) = 24 - 5(2) - 4}\\\\\mathsf{f(x) = 24 - 10 - 4}\\\\\mathsf{f(x) = 14 - 4}\\\\\mathsf{f(x) = 10}\\\\\\\huge\text{Therefore your answer should be:}\\\\\huge\boxed{\mathtt{f(x) = 10}}\huge\checkmark`

~
`\frak{Amphitrite1040:)}`

Answer 2

`\large\boxed{\tt f(2) = 10}`

Explanation:

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

`\textsf{Note that because x is given, all that's needed to be done is substitution.}`

`\large\underline{\textsf{Substitute;}}`

`\tt f(2)= 3x^(3) -5x-4`

`\tt f(2)= 3(2)^(3) -5(2)-4`

`\large\underline{\textsf{Evalulate;}}`

`\tt f(2)= 3(2 * 2 * 2) -10-4`

`\tt f(2)= 3(8) -10-4`

`\tt f(2)= 24-14`

`\large\boxed{\tt f(2) = 10}`