What are the domain restrictions to this function?

Question

f(x)=(3)/(4x+1)-7

let me know if you need it typed differently but the 3 and the 4x+1 are a fraction and then the -7 is to the side, also known as k

Answer 1

The domain restriction comes from the denominator of the fraction not being able to equal 0. So set this to zero and solve.

4x+1=0 Subtract 1 from both sides

4x=-1 Divide both sides by 4

x=-1/4 This value must be excluded from the domain.

Domain (-∞,-1/4) ∪ (-1/4,∞)