Question

select the correct answer. the domain of function r is (-[infinity], -7) ⋃ (-7, 5) u (5, [infinity]), and the value of the function approaches 1 as x approaches -[infinity] and [infinity]. which function could be function r? a. f(x) = (x-5)/(x+7) b. (2x-35)/(x²+2x-35) c. (x²-3x-15)/(x²+2x-35) d. (x²+2x-35)/(x²-3x-15)

Answer 1

a.

Explanation:

f(x) = (x - 5) / (x + 7)

As x approaches + infinity both the numerator and denominator approach + infinity.

- so we see that as x --> + infinity the fraction --> +inf/+inf :- that is approaches 1

and as x --> - infinity it also approaches - inf / - inf ---> 1.