SOLUTION: find the domain of f and write it in interval notation. f(x)= log7(5x+1)

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: find the domain of f and write it in interval notation. f(x)= log7(5x+1)      Log On


   

Question 968671: find the domain of f and write it in interval notation.
f(x)= log7(5x+1)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

f%28x%29=+log%287%2C%285x%2B1%29%29
the domain of f will be all except x that makes 5x%2B1=0 and it is: 5x%2B1=0=>5x=-1=>x=-1%2F5
or,
{ x element R : x%3E-1%2F5 }
in interval notation:
(-1%2F5,infinity)

+graph%28+600%2C+600%2C+-10%2C10%2C+-10%2C+10%2Clog%287%2C%285x%2B1%29%29%29+