:)
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

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)


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

40 & 50 in the right corner are the complementary angles as when placed in a sum (added together) they make 90°