MATH SOLVE

2 months ago

Q:
# Select all that are true for g(x) = 10/x (PLEASE ANSWER FAST ILL LOVE YOU FOREVER)The domain of g(x) is all real numbers.The domain of g(x) is the same as the domain of the parent function.The range of g(x) is all real numbers.The range is the same as the range of the parent function.The function g(x) increases over the same x-values as the parent function.The function g(x) decreases over the same x-values as the parent function.

Accepted Solution

A:

The given function is:

[tex]g(x)= \frac{10}{x} [/tex]

The parents functions of g(x) will be:

[tex]f(x)= \frac{1}{x} [/tex]

The domain of g(x) and its parent function is the same i.e. Set of all Real numbers except 0.

The range of g(x) and its parent function is the same i.e. set of all real numbers except 0.Β

g(x) and its parent function only decrease. They do not increase over any interval. However, the interval in which they decrease is the same for both.

So, the correct answers are:

The domain of g(x) is the same as the domain of the parent function.

The range is the same as the range of the parent function.

The function g(x) decreases over the same x-values as the parent function.

[tex]g(x)= \frac{10}{x} [/tex]

The parents functions of g(x) will be:

[tex]f(x)= \frac{1}{x} [/tex]

The domain of g(x) and its parent function is the same i.e. Set of all Real numbers except 0.

The range of g(x) and its parent function is the same i.e. set of all real numbers except 0.Β

g(x) and its parent function only decrease. They do not increase over any interval. However, the interval in which they decrease is the same for both.

So, the correct answers are:

The domain of g(x) is the same as the domain of the parent function.

The range is the same as the range of the parent function.

The function g(x) decreases over the same x-values as the parent function.