find domain of f(x) = 15/sqrt(x+6)
hint: what values of x can be?
since you can't have negative numbers under a square root, sqrt(x+6)>or=0
find x
simplify:
sq rt of 15/5 * sq rt of 20
To find the domain of the function f(x) = 15/sqrt(x+6), we need to determine which values of x make the expression inside the square root valid.
The expression inside the square root, x + 6, must be greater than or equal to zero, since we cannot take the square root of a negative number.
Setting x + 6 ≥ 0 and solving for x, we get:
x ≥ -6
Therefore, the domain of the function f(x) = 15/sqrt(x+6) is all values of x that are greater than or equal to -6.