3 years ago

The Symphony

Mathematics

1 answer:

lord [1]3 years ago

5 0

Answer is 12.50. u can comment on my answer if you would like to see how that is the correct answer :)

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2 years ago

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Gelneren [198K]

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2 years ago

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

GalinKa [24]

Answer:

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

Step-by-step explanation:

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