Question

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

Answer 1

SOLUTION

GIVEN

The function g is defined by g(x) = 9kx - 4 where k is constant.

TO DETERMINE

The value of k, if the graph of g passes through the point (7,-2)

EVALUATION

Here the given function is

g(x) = 9kx - 4

Now the graph of g passes through the point (7,-2)

So by the given condition

g(7) = - 2

$\implies \sf{9k \times 7 - 4 = - 2}$

$\implies \sf{63k = 4 - 2}$

$\implies \sf{63k = 2}$

$\displaystyle \implies \sf{k = \frac{2}{63} }$

Hence the required value is

$\displaystyle \sf{k = \frac{2}{63} }$

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Answer 2

Answer:

k= 63/2

Step-by-step explanation: