Studying for exams and these few questions are stopping me from proceeding, gotta learn it all by... (looks at date)... tomorrow or I'm basically screwed.(adsbygoogle = window.adsbygoogle || []).push({});

1. State domain and range of f(x) 2-|x-1|

2. Let g;[b,2] -> R where g(x) = 1 - x^2 , if b is the smallest real value of such that g has an inverse function, find b and inverse of g(x)

3. let f:S->R. f(x) = square root (4-x^20) and S be the set of all real values for x for which f(x) is defined. Let g:R->R, where g(x) = x^2 + 1

Find S and range of f and g.

4. Let 'a' be a positive number, let f:[2, infinite) -> R, f(x) = a - x and let g:(-infinite, 1] ->R, g(x) = x^2 + a. Find all values of 'a' for which f(g(x)) and g(f(x)) are defined.

5.Sketch this hybrid function (just want to know how to go about doing this)

f(x)=

{2x+6 where 0<2x≤2

{-x + 5 where =4≤x≤0

{=4 where x < -4

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# Homework Help: Some basic functions questions

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