Two racecars start a race at the same place and finish the race in a perfect tie. Prove there was at least one moment during the race when both cars were going at exactly the same speed. (HINT: Let f(t) represent the location of the first car at time t, and let g(t) represent the location of the second car at time t. Let h(t) think the function h(t) merits some serious consideration.) f(t) – g(t). I

Q: oint (−8, −11), changes direction at the point (−2, −25), goes up and right becoming more steep,…

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Q: 3. Let f(x)=x2+kx and g(x)=x+k . The graphs of f and g intersect at two distinct points. Find the…

A: Simple graph intersecting problem....

Q: a. The function f(x) is represented by f(x) = 2x. The linear function g(x) passes through the points…

A:

Q: If f(-x) = -f(x), then the function is   A. neither B. odd C. even D. both

A: If   Odd function :- if f(-x) = - f(x), then function is odd Even function :- If f(-x) = f(x), then…

Q: 1. Find the domain and range of the function. f (x) = v3x – 2

A: Topic- range and domain of function

Q: Graph  f(x) = ax  for  a =  1 3,   a = 1,  and  a = 3,  all on the same set of axes.

A: Given: f(x)=ax We are required to: Draw the graph of the given function for a=13,a=1 and a=3.

Q: Let f(x) ƒ-¹(x) = = 1 x + 13

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Q: Let h be a function with h1(10)=-12, and let g(x)=h(x2+1). Find g1(3).

A: Given:  h'10=-12, gx=hx2+1 Find:g'3 As,   gx=hx2+1 Using Composition of functions and the derivative…

Q: Let ƒ(x) = x/x - 2. Find a function y = g(x) so that (ƒ ∘ g)(x) = x.

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Q: In each of the following, determine whether

A: We have to decide whether y is a function of x or not.