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 = 6 - 7 = (x + 7) - 7 = x;
2. (f ? f-1)(x) = f(f-1(x)) = f(6x - 7) =  =  = x

Mathematics

You might also like to view...

Find the work done by the force field F in moving a particle along the curve C.F = xyi + 7j + 4xk; C: x = cos 2t, y = sin 2t, z = t, 0 ? t ? 

A.
B.
C.
D. 0

Mathematics

Factor. Check by multiplying.2x - 10y

A. 2(x - 10y) B. 2(x - y) C. 5(2x - 2y) D. 2(x - 5y)

Mathematics

Find the part.5000% of 128 universities

A. 6400 universities B. 640,000 universities C. 640 universities D. 64,000 universities

Mathematics

Find the exact value of the expression.sec 210°

A.
B. - 
C. - 
D.

Mathematics