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If g(x)=x+1/x-2 and h(x)=4-x,what is the value of (g.h)(-3)?

User ThibThib
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1 Answer

4 votes

Answer:


g.h(-3) = (14)/(5)

Explanation:

We are given these following functions:


g(x) = (x + 1)/(x - 2)


h(x) = 4 - x

Multiplication function:


g.h(x) = (x + 1)/(x - 2) * (4 - x) = ((x+1)(4-x))/(x - 2)

At x = -3


g.h(-3) = ((-3+1)(4-(-3)))/(-3 - 2) = ((-2)(7))/(-5) = (-14)/(-5) = (14)/(5)

So


g.h(-3) = (14)/(5)

User WPalombini
by
7.3k points
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