Question

Anna is swimming against the ocean current. The following equation models her speed: f(x) = x2 − 6x +1, where x is Anna's speed relative to land. What is the domain of the function?

a
x ≥ 1

b
x ≤ −3

c
x ≥ −6

d
All real numbers

Answer 1

To determine the domain of the function f(x) = x^2 - 6x + 1, we need to identify the values of x for which the function is defined.

In this case, since the function represents Anna's speed relative to land, it is reasonable to assume that Anna's speed cannot be negative since speed is typically measured as a positive value. Therefore, we can eliminate the options that involve x being less than 0.

Now let's examine the given equation f(x) = x^2 - 6x + 1. There are no square roots or denominators in the equation, so we don't need to worry about dividing by zero or taking the square root of negative numbers. Therefore, the function is defined for all real numbers.

Hence, the correct answer is:

d) All real numbers.

`\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}`

♥️
`\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}`