a) Why is this function invertible? b) Give an example of a function that is not invertible on its natural domain. c) Find the equation of the inverse function, f¹(x). Do NOT graph the function or its inverse. d) Verify that the following functions are inverses: = 1-2 3-x and g-¹(x) = 3 - g(x) = (1-x)³ 8 Clearly lay out your proofs, showing each step in the algebraic process.

Q: 9) let f(x) = (x +2)² - 12. a) Sketch a "good enough graph" of f. b) Determine the number of…

A: (a) f(x)=(x+2)2−12

Q: f(x)= 3x-2/ x+1 find the inverse

A:

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

A: The given function should be

Q: If the function is one-to-one, find its inverse. If not, write "not one-to-one." 12) f(x)= 2 X-5 A)…

A:

Q: f(x)= x2 -3 Find the inverse and show work

A: f(x)=x2-3 => y = x2-3 For inverse, interchange x and y and solve for y.

Q: x3- 5 ƒ (x) = 1. and g(x) =V12x+ 5 12

A:

Q: 7

A: It is required to calculate the inverse of the given function f(x).

Q: 14) a) Find the inverse of the following one-to-one function and state your answer using proper…

A: Inverse function.

Q: Find the inverse function of f(x) = (1/3)x + 4 and specify its domain.

A: The given function is fx=13x+4. Since the above function is defined for all real values of x, the…

Q: Find the inverse function

A:

Q: The function f is defined by f(x) = -x³- 4x + 5 and the point (-1, 10) is on the graph of f. If g is…

A: