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 constant c is 4.8 or $\frac{24}{5}$

Solution:

Given that function G is defined by:

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

where c is a constant

The above function means that for every input x the output is g(x)

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

To find c when graph passes through (5, 6)

So here, x = 5 and G(x) = 6

Substitute the above values in given function of G(x)

$G(x) = c + \frac{6}{x}\\\\6 = c + \frac{6}{5}\\\\6 = \frac{5c+6}{5}\\\\30 = 5c + 6\\\\5c + 6 = 30\\\\5c = 30 - 6\\\\5c = 24\\\\c = \frac{24}{5} = 4.8$

Thus c is 4.8 or $\frac{24}{5}$