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

Mathematics

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Fill in the missing value.540,000 mm2 =    cm2

A. 54,000 B. 54 C. 5400 D. 540

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The total worldwide box-office receipts for a long-running movie are approximated by the function ?  ?  where  is measured in millions of dollars and x is the number of years since the movie's release. ?  Select the graph of the function T. ? 

A. ?

?

?


B. ?

?


C. ?


D. ?

?


Mathematics

First rewrite the quadratic function in standard form by completing the square, then find any x-intercepts and any y-intercepts.f(x) = 2x2 + 32x + 126

A. x-intercepts: 9 and 7; y-intercept: -126 B. x-intercepts: 9 and -7; y-intercept: -32 C. x-intercepts: -9 and 7; y-intercept: 0 D. x-intercepts: -9 and -7; y-intercept: 126

Mathematics

Find the composition. If f(x) = x2 + 2 and h(x) = , find (h ? f)(4)

A.
B. 4
C. 6 + 
D. 23

Mathematics