Question

The function g is defined by g(x)=9k−4, where k is a constant. Find k, if the graph of g passes through the point (7,−2).

Answer 1

given g(x)=9k−4 and g passes through the point (7,−2)

substiting g(7) = 9*k - 4 = -2

so 9*k = -2 + 4 = 2

k = 2/9 or 0.22

Answer 2

Answer: $k=\dfrac{2}{9}$

Step-by-step explanation:

Given : The function g is defined by $g(x)=9k-4$, where k is a constant.

If the graph of g passes through the point (7,−2), then at x=7 , the value of g should be -2.

So substitute x=7 then g(7)=-2.

Consider $g(7)=9k-4$

$\Rightarrow\ -2=9k-4$

Adding 4 on both sides , we get

$\Rightarrow\ 9k=2$

Dividing both sides  by 9 , we get

$k=\dfrac{2}{9}$

Hence, the value of $k=\dfrac{2}{9}$.