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alukav5142 [94]
2 years ago
8

If f(x) = 4x-3, which of the following is the inverse of f(x)?

Mathematics
1 answer:
GalinKa [24]2 years ago
5 0

Answer:

\huge\boxed{f^{-1}(x)=\dfrac{x+3}{4}=\dfrac{1}{4}x+\dfrac{3}{4}}

Step-by-step explanation:

f(x)=4x-3\to y=4x-3\\\\\text{exchange}\ x\ \text{to}\ y\ \text{and vice versa}\\\\x=4y-3\\\\\text{solve for}\ y\\\\4y-3=x\qquad|\text{add 3 to both sides}\\\\4y-3+3=x+3\\\\4y=x+3\qquad|\text{divide both sides by 4}\\\\\dfrac{4y}{4}=\dfrac{x+3}{4}\\\\y=\dfrac{x+3}{4}\to y=\dfrac{1}{4}x+\dfrac{3}{4}

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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<img src="https://tex.z-dn.net/?f=%5Chuge%5Cbold%5Cred%7B%7BHELP%7D%7D" id="TexFormula1" title="\huge\bold\red{{HELP}}" alt="\hu
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9514 1404 393

Answer:

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Step-by-step explanation:

The distributive property applies.

1. (fg)(x) = f(x)·g(x) = (2x)·(x +1)

  (f×g)(x) = 2x^2 +2x

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2. (fg)(x) = f(x)·g(x) = (2y -7)·(3y +5) = 2y(3y +5) -7(3y +5)

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<em>Additional comment</em>

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