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

Answer:

The value of $c$ is 4.8.

Step-by-step explanation:

Given:

The function is given as:

$g(x)=c+\frac{6}{x}$

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,

$c+\frac{6}{5}=6$

Adding $-\frac{6}{5}$ both sides, we get:

$c=6-\frac{6}{5}\\\\c=\frac{30}{5}-\frac{6}{5}\\\\c=\frac{30-6}{5}\\\\c=\frac{24}{5}=4.8$

Therefore, the value of 'c' is 4.8.