Question

Given f(x) and g(x) = f(k⋅x), use the graph to determine the value of k.

A.) - 3
B.) -1/3
C.) 1/3
D.) 3

Answer 1

equation of f(x)

point of intersection of f(x) and x axis - (-4,0)

point of intersection of f(x) and y axis - (0,4)

Equation y = x +4

g(x) = f( kx)

= kx +4

g(-2) = -2

-2k +4= -2

-2k = -2 -4

-2k = -6

k= 3

Answer 2

Using the graph, it is found that k = 3.

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• When the x-axis is -6, function f is -2. Thus, $f(-6) = -2$.
• By the same logic, for function g, $g(-2) = -2$.
• We have that $g(x) = f(kx)$, and from the above bullet-points, we have that $g(-2) = f(-6)$. Thus:

$-2k = -6$

$2k = 6$

$k = \frac{6}{2}$

$k = 3$

A similar problem is given at https://brainly.com/question/24753049