Final answer:
To find the x-intercept, set y = 0 and solve for x. There is no x-intercept. To find the y-intercept, set x = 0 and solve for y. The y-intercept is -1/4.
Step-by-step explanation:
To find the x-intercept of the function f(x) = 1/(x-4), we set y = 0 and solve for x. So, 0 = 1/(x-4). Multiplying both sides by (x-4), we get 0 = 1. This is not possible since 0 can't equal 1. Therefore, there is no x-intercept.
To find the y-intercept, we set x = 0 and solve for y. So, y = 1/(0-4) = -1/4. Therefore, the y-intercept is -1/4.