What is the domain and range of $F(x) = 7/(6x-5)$ ?

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Answer 1 · 2015-09-08T13:24:22

Domain: $x inRR, x!=5/6$
Range: $F(x)in RR, F(x)!=0$

$F(x) = 7/(6x-5)$ is not defined if $(6x-5)=0$ (i.e. if $x=5/6$

therefore $x=5/6$ must be excluded from the Domain

Consider the partial inverse equation:
$F(x) = 7/(6x-5)$
$rarr 6x-5 = 7/F(x)$

This will not be defined if $(F(x)=0$
therefore $F(x) =0$ must be excluded from the range.
graph{7/(6x-5) [-20.27, 20.26, -10.13, 10.15]}

What is the domain and range of F(x) = 7/(6x-5)F(x) = 7/(6x-5)?