Find g’(9) where g(x)=(squareroot(x)+3)/(squareroot(x)-1) ?

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Answer 1 · 2018-02-16T23:08:06

3

#g(x)=(sqrtx+3)/(sqrtx -1)#

Now substitute #color(red)(9)# for every time you see #color(red)x# in the expression:

#g(color(red)9) = (sqrtcolor(red)9+3)/(sqrtcolor(red)9 -1)#

and simplify:

#g(9)=(3+3)/(3-1)#

#g(9)=6/2#

#g(9)=3#