the x - intercept of the graph of f(x) is at x = - 4. what is the value of the x - intercept for g(x) if…
the x - intercept of the graph of f(x) is at x = - 4. what is the value of the x - intercept for g(x) if g(x)=3f(4x)?
Answer
Answer:
$-1$
Explanation:
Step1: Recall x - intercept property
For $f(x)$, $f(-4)=0$.
Step2: Find x - intercept of $g(x)$
Set $g(x) = 0$. Since $g(x)=3f(4x)$, then $3f(4x)=0$, so $f(4x)=0$.
Step3: Substitute known value
We know $f(-4) = 0$, so set $4x=-4$.
Step4: Solve for $x$
$x=\frac{-4}{4}=-1$.