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Mathematics
19.06.2020 17:02
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Which is the graph of f(x) = (x - 1)(x + 4)? 2 2 24 Save and Exit Next Summa Mark

Which is the graph of f(x) = (x - 1)(x + 4)?
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Summa
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nyjaelynn
nyjaelynn
5,0(32 marks)

I think you mean

f(x) = \dfrac{15x + 50}{x + 5}

First, replace f(x) with y.

y = \dfrac{15x + 50}{x + 5}

Now, switch x and y.

x = \dfrac{15y + 50}{y + 5}

Now we solve for y.

x(y + 5) = 15y + 50

xy + 5x = 15y + 50

xy - 15y = -5x + 50

y(x - 15) = -5x + 50

y = \dfrac{-5x+ 50}{x - 15}

Now we replace y with f^{-1}(x).

f^{-1}(x) = \dfrac{-5x+ 50}{x - 15}

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