What is the range of #f(x) = -3^x + 4#? Algebra Expressions, Equations, and Functions Domain and Range of a Function 1 Answer Antoine May 6, 2015 Write #y=-3^x+4# #=>3^x=4-y# Take #ln# of both sides #=>ln3^x=ln(4-y)# #=>x=ln(4-y)/ln3# Now notice that #(4-y)# cannot be negative nor zero! #=>4-y>0 =>y<4# Hence the range of #f(x)# is #f(x)<4# Answer link Related questions How do you determine if (-1, 4), (2, 8), (-1, 5) is a function? What is the domain for #f(x)=2x-4#? What is the domain and range for (3,1), (1,-4), and (2, 8)? What is the domain and range of a linear function? Is domain the independent or dependent variable? How do you find the domain and range of a function in interval notation? How do you find domain and range of a rational function? How do you find domain and range of a quadratic function? How do you determine the domain and range of a function? What is Domain and Range of a Function? See all questions in Domain and Range of a Function Impact of this question 7134 views around the world You can reuse this answer Creative Commons License