Question 17 of 45 If f(x)=(6)/(x-1), for what value of x does f(x)=5 ?

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asked Sep 19, 2024 59.0k views

1 Answer

Clinton Jooooones · Answer 1 · 2024-09-23T13:57:44+0000

To find the x for which f(x)=(6)/(x-1) equals 5, we set the function equal to 5 and solve for x. The resulting value of x is 2.2.

To find the x-value for which the function f(x) = (6)/(x-1) equals 5, we can set the function equal to 5 and solve for x:

5 = 6/(x-1)

First, we cross multiply to clear the fraction. 5*(x - 1) = 6
That simplifies to 5x - 5 = 6
We then add 5 to both sides to isolate the term with x, and we get 5x = 11
Finally, we divide both sides by 5 and find that the solution, or the value for x where f(x) = 5, is x = 11/5 or 2.2