Question

The function g is defined by g(x)=c+6÷x, where c is a constant. Find c, if the graph of g passes through the point (5, 6).

Answer 1

The value of
`c` is 4.8.

Explanation:

Given:

The function is given as:

`g(x)=c+(6)/(x)`

The graph of 'g' passes through the point (5, 6)

The ordered pair (5, 6) represents that at
`x=5`, the function's value is 6.

So,
`g(5)=6`

So, we plug in 5 for 'x' in
`g(x)` and equate the function to 6. This gives,

`c+(6)/(5)=6`

Adding
`-(6)/(5)` both sides, we get:

`c=6-(6)/(5)\\\\c=(30)/(5)-(6)/(5)\\\\c=(30-6)/(5)\\\\c=(24)/(5)=4.8`

Therefore, the value of 'c' is 4.8.