Answer:
Domain: x>=1
Step-by-step explanation:
what values of x make it work (square roots must be greater than or equal to zero)
sqrt (5x-5) >=0
square each side
5x-5 >=0
add 5 to each side
5x>=5
divide by 5 on each side
5x/5 >=5/5
x >=1
The composite function
works like this:
- Take a number
as input - Evaluate h(x) = 3x. Let's call this output z.
- Evaluate g(x) = 1/(z+2)
So, if we substitute back z = 3x, the final output is 1/(3x+2). We know that the denominator of a fraction can't be zero, so we must impose

The exponent is 3. 2 to the 3rd power is 8