If f(x)=x sqrt -25 and g(x)=x-5, what is the domain of (f/g)(x)?
2 answers:
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The inequality that represents the domain of the function is
The function is given as:
Set the radicand greater than or equal to 0
Multiply through by 2
x - 20 ≥ 0
Add 20 to both sides
x ≥ 20
Hence, the domain of the function is x ≥ 20
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Answer:
x ≥ -5
Step-by-step explanation:
If we have a translation to left c units, we write " x + c " in the function, and
If we have a translation to right c units, we write " x - c" in the function
If we have vertical translation up b units, we "add b to the function", and
If we have vertical translation down b units, we "subtract b to the function"
The parent function is
Since translation left 5 units and up 3 units, we can write:
The domain is affected by the square root sign and we know the number under the square root CANNOT be negative, so we can say:
x + 5 ≥ 0
x ≥ -5
This is the domain.