type the correct answer in the box. use numerals instead of words. the graphs of functions f and g are…
type the correct answer in the box. use numerals instead of words. the graphs of functions f and g are shown. function g is defined as g(x)=kf(x). what is the value of k? the value of k is
Answer
Answer:
2
Explanation:
Step1: Choose a point on the graphs
Let's choose the point (x = 2). On the graph of (f), when (x = 2), (f(2)=1). On the graph of (g), when (x = 2), (g(2) = 2).
Step2: Use the equation (g(x)=kf(x))
Substitute (x = 2) into (g(x)=kf(x)), we get (g(2)=kf(2)). Since (g(2) = 2) and (f(2)=1), then (2=k\times1). So (k = 2).