Working on math homework and was a little stuck on the steps to this question. If you can also state how to get the range of the inverse, that would be great. Thanks!
ambiguous y = ax+d/cx-d ought to be any of here y = (ax+d) / (cx-d) y = ax + (d/cx) β d y = (ax+d/cx) β d or a number of others. discover ways to apply parans. yet see the example under. No! you do no longer "turn it over" to locate the inverse. you're completely incorrect. You replace x and y and remedy for y. as an occasion y = 2x + a million x = 2y + a million 2y = x β a million y = (x β a million) / 2 or y = (x/2) β (a million/2) .
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Verified answer
Let x=ay+d/cyβd and separate y
x(cy -d)=ay+d
cxy-dx=ay+d
cxy-ay=d+dx
y(cx-a)=d+dx
y=dx+d/cx-a is the inverse function f^-1(x)
domain of f(x) =(-inf,d/c)U(d/c,inf)=range f^-1(x)
domain of f^-1(x)=(-inf,a/c)U(a/c,inf)=range of f(x)
ambiguous y = ax+d/cx-d ought to be any of here y = (ax+d) / (cx-d) y = ax + (d/cx) β d y = (ax+d/cx) β d or a number of others. discover ways to apply parans. yet see the example under. No! you do no longer "turn it over" to locate the inverse. you're completely incorrect. You replace x and y and remedy for y. as an occasion y = 2x + a million x = 2y + a million 2y = x β a million y = (x β a million) / 2 or y = (x/2) β (a million/2) .
Switch the 'Y' with the 'X'
y = ax + d/cx - d
to
x = ay + d/cy - d
then solve it