The value of k is 1/2 so option (C) will be correct.
How to plot a graph?
A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables.
In order to plot the graph, we need to find out y's values corresponding to x's value
The coordinate geometry must then be changed to reflect the values of x and y.
Coordinate of f(x) is
( 5, 2 ) and ( -1 , 0 )
So the function will be
f(x) = slope( x - 5) since slope is ( 0 - 2 )/( -1 - 5 ) = 1/3
so f(x) = 1/3 ( x - 5 )
⇒ f(x) = x/3 + 1/3
Coordinate of g(x) is
( 5,1 ) and ( -1 , 0 )
So the function will be
g(x) = slope ( x - 5 ) since slope is ( 0 - 1 )/( -1 - 5 ) = 1/6
so g(x) = 1/6(x - 5)
⇒ g(x) = x/6 - 5/6
So x has been replaced by 1/2 hence the value of k will be 1/2.
For more information about the graph of a function
brainly.com/question/27757761
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