e whether or not the given function is one-to-one and, 4 ne inverse: f(x) = 6x + - 1 "(т) — pVz² – 96 12 12 1(2) 6 4x 24 '(x) = 12 t one-to-one ||

Q: 1 2.if [(fT))=, find [ f(4t) S

A: Laplace transform of the function

Q: Find f(x).

A: Given,

Q: 13x Find the derivative of the function y = 2 tan¬1 (5x ). (Use symbolic notation and fractions…

A:

Q: Let r(t) be the rate at which a swimming pool is being filled with water, measured in liters/minute,…

A: Given that rt be the rate at which a swimming pool is being filled with water, measured in…

Q: 2s-3 1. s2-4s+8

A:

Q: Suppose the concentration of a particular drug that is administered orally is given by Cpo (t) = 150…

A:

Q: (5 pts) Suppose y = f(x) = x² + 4x, x > 1. Find the inverse function of f(x)

A: Given y=f(x)=x2+4x, x≥1. This is in the form (a-b)(a+b)=a2-b2. Hence y become

Q: Using the inverse function rule, find . Find * if x = (y + 2y – 3)³

A:

Q: Let f(t) be the number of centimeters of rainfall that has fallen since midnight, where t is the…

A: We can solve it as follows

Q: Find the inverse function for f(t) = 41e0.25t f-1 (t) =

A: NOTE: Refresh your page if you can't see any equations. . to find an inverse function, interchange…

Q: A dress that is size x in France is equaivalent to size d(x) in the United States, where d(x) =…

A: d(x) = x - 32 For the inverse function we find the value of x in terms of d(x) and then replace x…

Q: The function that relates the inverse of speed (1/5) (i.e., the time in minutes that it takes to…

A: Given Information:Reciprocal of speed function with respect to the traffic volume  is .The traffic…

Q: Differentiate the following function. f(x) = - 4 e 3x *(-4 e 3x) = D dx

A: Differentiate the following function

Q: this Find the derivative of the following function. y=7x 3 Textbook + 10x y - 3455x 1 2 6- X+ E T

A: y′=2−21​x2−5​−5x2−3​+11x10Explanation:Approach to solving the question:  Detailed explanation:

Q: Find a formula for the inverse function of h(x)=2e3x . Verify that h-1(h(0))=0

A:

Q: If f(x) = x√(x+3) and a=2, find (f-1)'(a). f is a one to one function

A:

Q: 5. Find the inverse of f(x) = Vx+2.

A: f(x)=x+23To find: The inverse

Q: A small company of science writers found that its rate of profit (in thousands of dollars) after t…

A: rate of profit in thousands of dollars after t years,P'(t)=10t+10t2+2t+213

Q: Find the inverse function for f(t) = 96e⁰.1t f-¹(t):

A:

Q: 14 Consider the following two functions: 1 exp dx %3D (面) e() tan (2) %3D Explain why both of these…

A: Given function is  φv=12π∫-∞ve-x22dx Let us consider  fx=12πe-x22 Then, fx is the probability…