Given the functions f(x) = 3x - 5 and h(x) = -x² + 3x - 2, evaluate the expression: f(7/3)-h(-3)=

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asked Dec 21, 2023 139k views

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Given the functions f(x) = 3x - 5 and h(x) = -x² + 3x - 2, evaluate the expression: f(7/3)-h(-3)=

Mathematics
high-school

Vozaldi asked

by Vozaldi

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Answer: f(7/3)-h(-3)=22

Explanation:

$\displaystyle\\f(x)=3x-5\ \ \ \ h(x)=-x^2+3x-2\\\\f((7)/(3))= 3*(7)/(3) -5\\\\f((7)/(3))=7-5\\\\f((7)/(3))=2\\\\h(-3)=-(-3)^2+3*(-3)-2\\\\h(-3)=-9-9-2\\\\h(-3)=-20\\\\f((7)/(3))-h(-3)=2-(-20)\\\\ f((7)/(3))-h(-3)=2+20\\\\f((7)/(3))-h(-3)=22$

Maddy Blacklisted answered Dec 28, 2023

by Maddy Blacklisted

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