a)The functions f and g are defined by f(x) = root x for x > 0; g(x) = x - 1 for all values of x. i.)Write down expressions for fg(x) and gf(x). > fg(x) = root x - 1 > gf(x) = root x - 1 ii.) Verify that x = 1 => fg(x) = gf(x) >??????
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Originally Posted by ansonbound a)The functions f and g are defined by f(x) = root x for x > 0; g(x) = x - 1 for all values of x. i.)Write down expressions for fg(x) and gf(x). > fg(x) = root x - 1 > gf(x) = root x - 1 ii.) Verify that x = 1 => fg(x) = gf(x) >?????? , I assume you mean function composition by the notation "fg(x) and gf(x)" you should be able to see that
Originally Posted by skeeter , I assume you mean function composition by the notation "fg(x) and gf(x)" you should be able to see that so it is right that i say
Originally Posted by ansonbound so it is right that i say not for all x ... only for x = 1
the last question..
swap variables ... solve for y to finish
Originally Posted by ansonbound yes! i did it by using
sketch the graph y = |2x-4| sketch the graph y = x how far up will you have to translate y = |2x-4| so that it touches y = x at only one point?
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