What is the range of the function sqrt(6x-7)?

1 Answer
Nov 2, 2017

Range= [0,+oo)

Explanation:

As the things inside square root cannot be negative, 6x-7 must be bigger than or equal to 0.

6x-7>=0

6x>=7

x>=7/6

Domain=[7/6, +oo)

Since the things inside square root is bigger than or equal to 0, the range of sqrt(k) is the value from sqrt(0) to sqrt(+oo), whatever the value of k.

Range= [0,+oo)