Use f(x) = 1/2x and f -1(x) =2x to solve the problems. f−1(f(x)) = f(f−1(x))
2 answers:
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Answer:
Option (D)
Step-by-step explanation:
The given graph represents a rational function having,
1). Vertical asymptote → x = 2
2). Horizontal asymptote → y = 0
Parent function representing the rational function will be in the form of,
F(x) =
Since, vertical asymptote of the function is x = 2, denominator of the function will be in the form of (x - 2)².
Since, horizontal asymptote of the function is y = 0, highest exponent term in the numerator will be 0.
Therefore, numerator of the fraction will be x⁰.
The rational function given in the graph will be,
F(x) =
F(x) =
Option (D) will be the answer.