Answer to Question #186365 in Functional Analysis for Catherine

Question

What is the domain of the rational function f(x) = 2x²-7/ 3x + 5?

A. the set of all positive real numbers

B. the set of all real numbers except x= - 5/3

C. the set of all real numbers

D. the set of all real numbers except x= 5/3

Answer 1

Solution.

$$f(x)=\frac{2x^2-7}{3x+5}$$

Domain:

$$3x+5\neq 0,\newline x\neq -\frac{5}{3}.$$

Answer. B