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3 years ago

15

The graph show how the amount of fuel in the gas tank changes over time. Choose the graph that correctly combines the graphs of

Car A and Car B to show when Car B has more fuel in its tank than Car A.

1 answer:

katrin [286]3 years ago

7 0

Answer:

its b

Step-by-step explanation:

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3 years ago

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2 years ago

Find a formula for the inverse of the function. f(x) = e^6x − 9

STatiana [176]

Answer:

$f^{-1}(x)=\frac{1}{6}\ln(x+9)$

Step-by-step explanation:

So we have the function:

$f(x)=e^{6x}-9$

To solve for the inverse of a function, change f(x) and x, change the f(x) to f⁻¹(x), and solve for it. Therefore:

$x=e^{6f^{-1}(x)}-9$

Add 9 to both sides:

$x+9=e^{6f^{-1}(x)}$

Take the natural log of both sides:

$\ln(x+9)=\ln(e^{6f^{-1}(x)})$

The right side cancels:

$\ln(x+9)=6f^{-1}(x)$

Divide both sides by 6:

$f^{-1}(x)=\frac{1}{6}\ln(x+9)$

And we're done!

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3 years ago