The function g(x) is equal to f(2x). The correct match of the graph for function g(x) is the curve of option A.
Given:
The function f(x) is a function that opens upwards. The extreme values of the functions are -2 and infinity. The curve cuts x-axis at x equal to -2 and 2.
Now, it is required to identify the function g(x) which is [tex]g(x)=f(2x)[/tex].
g(x) function has 2x instead of x in f(x). So, the curve will spread twice. The curve of g(x) will cut the x-axis at x equal to -4 and 4.
The extreme values of the function g(x) will be the same as that of f(x).
The curve that best suits the given condition is curve "A".
Therefore, the correct match of graph for function g(x) is curve of option A.
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https://brainly.com/question/18806107
