Question

How does the range of g(x)=6/x compare with the range of the parent function f(x)=1/x?

A. The range of both f(x) and g(x) is all real numbers

B. The range of both f(x) and g(x) is all nonzero real numbers

C. The range of f(x) is all real numbers, the range of g(x) is all real numbers except 6

D. The range of f(x) is all nonzero real numbers, the range of g(x) is all real numbers except 6

Answer 1

Answer: Option B  range of both f(x) and g(x)  is  all nonzero real numbers .

Explanation:

Range is the subset of codomain. Codomain is y when we have function mapping as f: x$\rightarrow$y

Here, x is domain, y is codomain and the set of values  y  can take is range.

so, in case of f(x) =$\frac{1}{x}$ it can take all real values except zero

Since, at zero it will become not defined.

In case of g(x)= $\frac{6}{x}$ it can take all real values  except zero

Since, at zero g(x) will become not defined.

Answer 2

The true statement about the range of both f(x) and g(x) is (b) The range of both f(x) and g(x) is all nonzero real numbers

How to determine the range of the function g(x)?

The function g(x) is given as:

g(x) = 6/x

The parent function is given as:

f(x) = 1/x

The range of the function f(x) is all nonzero real numbers

This is applicable to the function g(x) also, because it has the range of all nonzero real numbers

Hence, the true statement about the range of both functions is (b) The range of both f(x) and g(x) is all nonzero real numbers

Read more about range at:

https://brainly.com/question/10197594