What is the domain of the function y=\sqrt{x+6-7

Question

asked Jan 9, 2020 130k views

1 Answer

Hann · Answer 1 · 2020-01-14T08:06:42+0000

Answer:

If the function is
y=√(x+6) -7 , the domain are all values of x greater than or equal to -6

If the function is
y=√(x+6-7) , the domain are all values of x greater than or equal to 1

Explanation:

First case

we have

y=√(x+6) -7

we know that

The radicand of the function must be greater than or equal to zero

so

$x+6 \geq 0$

$x\geq-6$

the solution is the interval---------> [-6,∞)

therefore

The domain are all values of x greater than or equal to -6

Second case

we have

y=√(x+6-7)

so

y=√(x-1)

we know that

The radicand of the function must be greater than or equal to zero

so

$x-1 \geq 0$

$x\geq 1$

the solution is the interval---------> [1,∞)

therefore

The domain are all values of x greater than or equal 1