What is the domain of f(x)= \frac{1}{ \sqrt{ {x}^(2) \: - 6x - 7} } A. (1,7) B. { x < -1} U {x > 7} C. [-1,7] D. (- infinity, -1] U [ 7, infinity) E. x > -1 or x < 7…

Question

What is the domain of f(x)=


`\frac{1}{ \sqrt{ {x}^(2) \: - 6x - 7} }`
A. (1,7)
B. { x < -1} U {x > 7}
C. [-1,7]
D. (- infinity, -1] U [ 7, infinity)
E. x > -1 or x < 7​

Answer 1

For example, the domain of f (x)=x² is all real numbers, and the domain of g (x)=1/x is all real numbers except for x=0. We can also define special functions whose domains are more limited.

Explanation: