The table above gives values of the differentiable functions f and g, and f', the derivative of f, at selected values of x. If g
(x) = f^-1(x), what is the value of g'(4) ?
(A) -1/3 (B) -1/4 (C) -3/100 (D) 1/4 (E) 1/3
(A) -1/3 (B) -1/4 (C) -3/100 (D) 1/4 (E) 1/3
1 answer:
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Answer:
Step-by-step explanation:
You're given a coordinate in the form of (x, y) and you're also given the vertex in the form of (h, k). We will use those in the vertex form of the equation
and solve for a. Filling in:
which simplifies a bit to
and a bit more to
. Add 3 to both sides to get
-8 = 4a so
a = -2
The equation, then, is