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5x +8 3x-5 Find the following for the function f(x) = (a) f(0) (e) fx) (f) f(x +

ID: 3018724 • Letter: 5

Question

5x +8 3x-5 Find the following for the function f(x) = (a) f(0) (e) fx) (f) f(x +3) (g) f(7x) (h) fix +h) (c) f(-1)- Simplify your answer. Type an integer or a simplified fraction.) Simplify your answer. Use integers or fractions for any numbers in the expression.) (e)-f(x)= Simplify your answer. Use integers or fractions for any numbers in the expression.) (f) f(x + 3)= (Simplify your answer. Use integers or fractions for any numbers in the expression.) (g) f(7x) = (Simplify your answer. Use integers or fractions for any numbers in the expression) (h) f(x + h) = [] (Simplify your answer. Use integers or fractions for any numbers in the expression.) Enter your answer in each of the answer boxes.

Explanation / Answer

f(0) = -8/5

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f(1) = (5 + 8)/(3 - 5)
= 13/-2
= -13/2

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f(-1) :
(-5 + 8)/(-3-5)
= -3/8

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f(-x) = (-5x + 8)/(-3x - 5)

Take negative all over :
f(-x) = (5x - 8)/(3x + 5)

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-f(x) :
-(5x + 8)/(3x - 5)

As in
(5x + 8)/(5 - 3x)

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f(x+3):
(5(x+3) + 8)/(3(x+3) - 5)

(5x + 15 + 8)/(3x + 9 - 5)

(5x + 23)/(3x + 4) ---> ANS

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f(7x):
[5(7x) + 8)]/(3(3x) - 5)

(35x + 8)/(9x - 5)

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f(x+h) :

[5(x+h) + 8]/[3(x+h) - 5]

(5x + 5h + 8)?(3x + 3h - 5) ---> ANS

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