Chapter 1 - Functions - 1.3 Inverse, Exponential, and Logarithmic Functions - 1.3 Exercises - Page 35: 15

$R$

We are given the function: $f(x)=3x+4$ Graph the function and apply the Horizontal Line Test. As any horizontal line intersects the graph in (at most) one point, the function checks the test, therefore it has an inverse on the set of all real numbers $R$.