Find the domain and range of the inverse of the given function.
-f(x) = 8x + 6
A) Domain: $( - \infty , 6 ]$; range: all real numbers
B) Domain: $[ 8 , \infty )$, range: $( - \infty , 6 ]$
C) Domain: all real numbers, range: $( - \infty , 6 ]$
D) Domain and range: all real numbers

Question

Find the domain and range of the inverse of the given function.
-f(x) = 8x + 6 
A) Domain: $( - \infty , 6 ]$; range: all real numbers
B) Domain: $[ 8 , \infty )$, range: $( - \infty , 6 ]$
C) Domain: all real numbers, range: $( - \infty , 6 ]$
D) Domain and range: all real numbers

Quizplus · Accepted Answer

The given function $f(x) = 8x + 6$ is a linear function, which means it is continuous and defined for all real numbers. Its inverse function would also be linear and thus defined for all real numbers, making both its domain and range all real numbers.

Find the Domain and Range of the Inverse of the Given