Find the values of the function below for each of the items . Present the answers as ordered pairs (x, f(x)). f(x)=3x2+x−5 a) f(0) b) f(5) c) f(x+1)

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Answer to a math question Find the values of the function below for each of the items . Present the answers as ordered pairs (x, f(x)). f(x)=3x2+x−5 a) f(0) b) f(5) c) f(x+1)

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\text{a) Given } f(x) = 3x^2 + x - 5

f(0) = 3(0)^2 + 0 - 5 = -5

(0, -5)

\text{b) Given } f(x) = 3x^2 + x - 5

f(5) = 3(5)^2 + 5 - 5 = 3(25) + 5 - 5 = 75 + 5 - 5 = 75

(5,75)

\text{c) Given } f(x) = 3x^2 + x - 5

f(x+1) = 3(x+1)^2 + (x+1) - 5

= 3(x^2 + 2x + 1) + x + 1 - 5

= 3x^2 + 6x + 3 + x + 1 - 5

= 3x^2 + 7x - 1

\left(x+1,3x^2+7x-1\right)

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