Question

Find the domain of f and write your answer in interval notation. f(3) = 2,6 + 5.0 + 10

Answer 1

The domain of the function is the values of x for which the function is real and defined.

To find the domain, the only way that the function will be real is when the value of 6+ 5x is ≥ 0

Since

6 + 5x ≥ 0

Solve for x

6 + 5x ≥0

subtract 6 from both-side

5x ≥- 6

Divide both-side by 5

$x\ge-\frac{6}{5}$

Hence the domain of f in interval notain is;

$\lbrack-\frac{6}{5},\text{ }\infty)$