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3 years ago

10

Write the inverse function for f(x)2/3x-4

1 answer:

vagabundo [1.1K]3 years ago

5 0

Answer:

The correct answer is

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

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What is the value of y for the line that had a slope of -3/2 and passes through the points (3,5) and (7,y)?

Leni [432]

$\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{y}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{y-5}{7-3}=\stackrel{\stackrel{slope}{\downarrow }}{-\cfrac{3}{2}}\implies \cfrac{y-5}{4}=-\cfrac{3}{2} \\\\\\ 2y-10=-3y\implies 5y-10=0\implies 5y=10\implies y=\cfrac{10}{5}\implies y=2$

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3 years ago

Solve by using substitution

chubhunter [2.5K]

f^-1 = 2x - 4

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