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Write your answers without parentheses and simplify

Look at photo! Write your answers without parentheses and simplify-example-1
User Yavuz Sert
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1 Answer

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Answer:

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

g(x - 2) = √(x - 2)(x - 7)

Explanation:

f(x) = 6x + 2 / 4x + 3

f(1/x) = 6/x + 2 / 4/x + 3

= 6 + 2x/x / 4 + 3x/x

= 6 + 2x/x * x/4 + 3x

= 6 + 2x / 4 + 3x

= 2(3 + x) / 4 + 3x

g(x) = √x² - 5x

g(x - 2) = √(x - 2)² - 5(x - 2)

= √x² + 4 - 4x - 5x + 10

= √x² - 9x + 14

= √x² - 2x - 7x + 14

= √x(x - 2) - 7(x - 2)

= √(x - 2)(x - 7)

User Yaris
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