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3 years ago

Find the inverse of the function: f(x)= 2x-3/x+1

1 answer:

3 0

$f(x)=\frac{2x-3}{x+1}\\\\
y=\frac{2x-3}{x+1}\\\\
y(x+1)=2x-3\\\\yx+y=2x-3\\\\yx-2x=-3-y\\\\x(y-2)=-3-y\\\\
x=\frac{-3-y}{y-2}\\\\
f(x)=\frac{-3-y}{y-2}$

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What is the vertex of g(x) = –3x2 + 18x + 2?

blsea [12.9K]

Answer:

$(3,29)$

Step-by-step explanation:

There is a formula that can be used to find the x-value of the vertex of the parabola. This formula is $x=\frac{-b}{2a}$

We have the function $g(x)=-3x^2+18x+2$

From this function, we can find that

$a=-3\\b=18\\c=2$

We can plug in our know values into the formula to get

$x=\frac{-18}{2(-3)\\} \\x=\frac{-18}{-6} \\\\x=3$

Then we can plug in our x-value to find the y-value of the vertex

$g(3)=-3(3)^2+18(3)+2\\\\g(3)=-3(9)+54+2\\\\g(3)=-27+54+2\\\\g(3)=29$

This means that the vertex would be $(3,29)$

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3 years ago

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Step-by-step explanation:

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