Question

Given f(x) and g(x) = f(k⋅x), use the graph to determine the value of k. Two lines labeled f of x and g of x. Line f of x passes through points negative 4, 0 and 0, 4. Line g of x passes through points negative 2, 0 and 0, 4. −2 negative one half one half 2

Answer 1

Answer:

k=2

Step-by-step explanation:

the equation of  straight line passing through the two points (a , b) and (c , d) is  

Now f(x) passes through (-4 , 0) and (0 , 4)

the equation is  

y=x+4

Now g(x) passes through (-2 , 0) and (0 , 4)

the equation is  

y=2x+4

here f(x)=x+4 and g(x)=2x+4

clearly g(x)=f(2x)

therefore k=2