For the function f, use composition of functions to show that f-1 is as given.Let . Show that 

What will be an ideal response?


1. (f-1 ? f)(x) = f-1(f(x)) = f-1 = 3 - 6 = (x + 6) - 6 = x;
2. (f ? f-1)(x) = f(f-1(x)) = f(3x - 6) =  =  = x

Mathematics

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Using the factoring method, solve for the roots of the quadratic equation.4x2 - 20x + 24 = 0

A. x = 2, x = 3 B. x = -2, x = -3 C. x = 4, x = 2, x = 3 D. x = 0, x = 2, x = 3

Mathematics

Solve the linear inequality. Express the solution in set-builder notation.-2(2x + 18) < -6x - 18

A. {x|x < -6} B. {x|x > -6} C. {x|x > 9} D. {x|x < 9}

Mathematics

Solve the formula for the indicated variable.h =   for b

A. b = 
B. b = 
C. b = 
D. b = 2A - Bh

Mathematics

Solve the problem.One side of a triangle is twice as long as a second side. The third side of the triangle is 11 feet long. The perimeter of the triangle cannot be more than 41 feet. Find the longest possible values for the other two sides of the triangle.

A. 9 feet and 18 feet B. 15 feet and 15 feet C. 10 feet and 20 feet D. 26 feet and 26 feet

Mathematics