Given that f (x) = x2-3x+3 and g (x) = x-1/4 find f (g (5))

Question

Mathematics

Frida Contreras

17 April, 10:37

Given that f (x) = x2-3x+3 and g (x) = x-1/4 find f (g (5))

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Answers (1)

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Braden · Answer 1

f (g (5)) = 181/16

Step-by-step explanation:

f (x) = x2-3x+3

g (x) = x-1/4

so we have:

f (g (x)) = (x-1/4) 2-3 (x-1/4) + 3

f (g (5)) = (5-1/4) 2 - 3 (5-1/4) + 3

f (g (5)) = (19/4) 2 - 3 (19/4) + 3

f (g (5)) = 361/16 - 57/4 + 3

f (g (5)) = 181/16