Question

The function r is given by r(x)=(x-3)/(x 5). what are all solutions to r(x)?

a) x = 3
b) x = 5
c) x = 0
d) x = 1

Answer 1

The solution to r(x)=(x-3)/(x-5) is x = 3.

Step-by-step explanation:

The function r(x)=(x-3)/(x-5) represents a rational function. To find all the solutions to r(x), also known as the x-intercepts or roots of the function, we set r(x) equal to zero and solve for x. In this case, we have:

(x-3)/(x-5) = 0

By multiplying both sides of the equation by (x-5), we get:

x - 3 = 0

Adding 3 to both sides, we obtain:

x = 3

Therefore, the only solution to r(x) is x = 3.