The function f(x) has been transformed to give g(x). Which of the following functions represent g(x)
2 answers:
Answer:
Option A is correct.
Step-by-step explanation:
See the two graphs given in the diagram attached.
The first graph shows the function f(x) = x²
Hence, it passes through the points (1,1), (-1,1), (2,4) and (-2,4) points.
Now, from the plotted second graph we see the points (2,2), and (-2,2) are on the curve.
Hence, the y-value corresponding to the same x-value reduces by a factor in the second graph i.e. the graph of y = g(x) compared to the first graph.
So, we can conclude that the transformed graph has the equation .
Hence, option A is correct. (Answer)
You might be interested in
Answer:
(a) There are asymptotes at x=3/2 and x=-1/3
Step-by-step explanation:
The denominator zeros can be found by factoring:
f(x) = (x +1)/((2x -3)(3x +1))
Neither of the denominator factors is cancelled by the numerator factor, so each represents a vertical asyptote, not a function hole.
The asymptotes are at the values of x where the denominator is zero:
2x -3 = 0 ⇒ x = 3/2
3x +1 = 0 ⇒ x = -1/3
