Question

Suppose f(x)= x^2. What is the graph of g(x)= f(4x)?

Answer 1

Answer:

Option A is the correct one.

Step-by-step explanation:

If f(x) = x² then g(x) = f(4x) = (4x)² = 16x² ........ (1)

Now, for any real value of x, the g(x) is positive.

Therefore, option B and option C is not correct.

Now, from the graph given in option A, it is clear that for y = 5, x value is near ±$\frac{1}{2}$.

So, putting x = $\frac{1}{2}$ in the equation (1), we get g(x) = 16(0.5)² = 4 which is close to 5.  

Therefore, option A is the correct one. (Answer)