. Given that f(x) = 3(x-4)² - 5 a. Determine the equation of the inverse

Q: Use the function f (x ) = 3sin(2x - π) to answer the questions.

A: Let's solve.

Q: 6. y = (x - 3)²

A:

Q: Given that f (z) and g (a) are inverse functions, and f (-3) =4, find the value of: 2f(-3) +3g (4)

A: If fx is a function, then its inverse can be written as  f-1x. Two functions fx and gx are inverse…

Q: Find the inverse of the radical function: f(x) 2 = yx +3 f) = D

A:

Q: Find a formula for the inverse of f (x) = V4 – 9x. Also find the domain and range of f and f-1.

A:

Q: Approximate the value(s) of x that satisfies the equation lnx =x2 −1.

A: The given equation is: lnx=x2-1 To find the approximate value of x that satisfies the given…

Q: Find the inverse function  y=g(x)=√t-3 g-1(y)=

A: The given function should be

Q: Given the function f(x)=x²-3x + 5, determine the inverse relation.

A: To Find the Inverse function we will exchange y with x and will calculate forward accordingly.

Q: The relationship between y and z is given by the formula: z=y4-1.Are both quantities functions of…

A: z=y^4 -1 . For one value of y, there is only one value of z. So z is a function of y.

Q: Answer the question with f (x)= x - 4 Find its inverse; b. Find the domain and range of J ;

A: Domain and range of a function become range and domain respectively of the inverse of that function.…

Q: For ​f(x)=2x−5 and ​g(x)=x2−2​, find the following functions. a. (f◦g)(x)​; b. (g◦f)(x)​; c.…

A:

Q: 2x + 1, forx -2

A: We will solve the problem

Q: 1~ x - 3 g(x) = g-¹(x)= 2

A: Solution :-

Q: In an annual sports meet, 9 students compete in 2 events (the 100 meter and 1000 meter race). How…

A: since we are given two events - 100 meter race and 1000 meter race. We will consider the events…

Q: Find the inverse of f(x)=3x−5/5x−2   f−1(x)=

A: The way you have written f(x), it has many intepretation. I am using the interpretation of f(x) as…

Q: Who would you algebraically find the two equations for this radical function?

A: The standard form of a the given radical function can be written as follows: