Question

:)
What is the domain and range for the following function and its inverse?
f(x)=3x-1/2

A. f(x)
domain: x≥0 , range y≥0
f–1(x)
domain: x≥0 , range: y≥0

B. f(x)
domain: x≤0, range: y≥-1
f–1(x)
domain: x≥0, range: y≤0

C. f(x)
domain: x≥0, range: y≤-1
f–1(x)
domain: x≤-1, range: y>0

D. f(x)
domain: all real numbers, range: all real numbers
f–1(x)
domain: all real numbers, range: all real numbers

Answer 1

domain is the numbers you can use
range is the result of inputing the domain

an interesting fact is that the inverse of a function switches the domain and range

basically
the domain of f(x) becomes the range of f^-1(x)
the range of f(x) becomes the domain of f^-1(x)
so just find the domain and range of f(x)


$f(x)=3x- \frac{1}{2}$
there are no restrictions
all real numbers can be used
all real numbers can result


so the answer is domain and range for both is all real numbers

D is answer

Answer 2

Answer:d

Step-by-step explanation: