Question

Determine the inverse of the function f (x) = 3(x − 4)2 + 5.

inverse of f of x is equal to 4 minus the square root of the quantity of the quantity x minus 5 end quantity over 3 end quantity such that the domain of f (x) is x ≥ 4
inverse of f of x is equal to 4 minus the square root of the quantity of the quantity x minus 5 end quantity over 3 end quantity such that the domain of f (x) is x ≤ 4
inverse of f of x is equal to 4 minus the square root of the quantity x over 3 minus 5 end quantity such that the domain of f (x) is x ≥ 4
inverse of f of x is equal to 4 minus the square root of the quantity x over 3 minus 5 end quantity such that the domain of f (x) is x ≤ 4
Question 4(Multiple Choice Worth 2 points)
(02.06 MC)

Determine the inverse of the function f(x) = log2(3x + 4) − 5.

f inverse of x is equal to 2 to the power of x plus 3 all over 2
f inverse of x is equal to the quantity x plus 5 end quantity squared minus 4 all over 3
f inverse of x is equal to 2 to the power of the quantity x plus 5 end quantity minus 4 all over 3
f inverse of x is equal to 2 to the power of the quantity x minus 5 end quantity plus 4 all over 3
Question 5(Multiple Choice Worth 2 points)
(02.06 MC)

Given the graph of f(x), determine the range of f−1(x).

Rational function with one piece increasing from the left in quadrant 2 asymptotic to the line y equals 1 and passing through the point 2 comma 2 and asymptotic to the line x equals 3 and another piece increasing from the left in quadrant 4 asymptotic to the line x equals 3 passing through the point 4 comma 0 asymptotic to the line y equals 1.

Answer 1

Answer: The inverse of the function f(x) = 4(x-3)² + 2 is

The given function is:

f(x) = 4(x - 3)² + 2

To find the inverse of the function:

Make x as the subject of the formula

Replace x by and replace f(x) by x

Therefore, the inverse of the function is:

Explanation: