Question

The function h is defined by h(x)=60÷x−r, where r is a constant. Find r, if the graph of h passes through the point (−6,−20).

Answer 1

r = 10

Explanation:

You want to find r such that ...

-20 = 60/-6 -r

r = 60/-6 +20 . . . . . add 20+r

r = -10 +20 = 10

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If you mean h(x) = 60/(x -r), then the answer is different.

-20 = 60/(-6-r)

-6-r = 60/-20 . . . . . multiply by (-6-r)/(-20)

-r = -3 +6 = 3 . . . . . add 6, simplify

r = -3 . . . . . . . . . . . . multiply by -1