Question

the function g is defined by g(x)=3k-5x, where k is a constant. find k, if the graph of g passes through the point (3,11).

Answer 1

`k=26/3`

Explanation:

we have

`g(x)=3k-5x`

we know that

If the graph of g(x) passes through the point (3,11)

then

the ordered pair (3,11) must satisfy the equation g(x)

Substitute

`x=3,g(3)=11`

`11=3k-5(3)`

`11=3k-15`

`3k=11+15`

`3k=26`

`3k=26`

`k=26/3`