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anonymous
 5 years ago
Problem: b is any real such that b < 1. relation f is defined on any real for which x < 1 such that f(x) = (x  b) / (bx  1). Is this a function??
anonymous
 5 years ago
Problem: b is any real such that b < 1. relation f is defined on any real for which x < 1 such that f(x) = (x  b) / (bx  1). Is this a function??

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amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0plug in b=1/2 and see :)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0for any given value of x; you only produce 1 y so yeah :)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0barring x=2 of course

dumbcow
 5 years ago
Best ResponseYou've already chosen the best response.0you can also show f(x) is defined on every point where x<1 f(x) is only undefined if bx1 =0 bx1 =0 bx=1 b=1/x since x<1 the reciprocal 1/x >1 but b is defined as less than 1 thus b can not equal 1/x and f(x) is defined at every point in the interval x<1

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0how does that define a function? sounds more like continuity.
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