If g of x is equal to the fraction with numerator x plus 1 and denominator x minus 2 and h of x is equal to 4 minus x , what is the value of open paren g circ h close paren times negative 3 ?
Answer
A
5 halves
B
8 fifths
C
15 halves
D
18 fifths
Explanation
To find (g ∘ h)(−3), first evaluate h(−3): 4 − (−3) = 7. Then substitute 7 into g: g(7) = (7 + 1)/(7 − 2) = 8/5. The value is 8/5, choice B.
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