Question

question 6 (1 point) (02 05 mc) given f(x) and g(x)=k*f(x), use the graph to determine the value of k.

Explanation:

Step1: Select a point on the graphs

Choose the intersection point $(0, 4)$. At $x = 0$, $f(0)=4$ and $g(0)=4$.

Step2: Substitute into $g(x)=k\cdot f(x)$

Substitute $x = 0$ into $g(x)=k\cdot f(x)$. We get $g(0)=k\cdot f(0)$. Since $g(0) = 4$ and $f(0)=4$, then $4=k\cdot4$.

Step3: Solve for $k$

Divide both sides of the equation $4 = k\cdot4$ by 4. So $k=\frac{4}{4}=1$.

Answer:

$1$