(1,5), (9,85), (2,10),(6,38),(4,3),(12,107),(7,64), (12,86) ,(7,47), (9,64), (4,27) The line is in the form y=mx+b.y=mx+b. What
alexandr1967 [171]
Answer:
y=10x-5
Step-by-step explanation:
should be the right answer since I used a calculator :p
<h2><u>A = 4</u> is the correct answer!</h2><h3></h3><h3>3 x ? = 12</h3><h3>12 ÷ 3 = 4</h3><h3>so</h3><h3>1 x 4 = 4</h3><h3 /><h3>You're wrong. It is not six.</h3><h3>By the way, it's "one" not "won".</h3><h3>It was probably a mistake.</h3><h3>:)</h3><h3 /><h3><em>Please let me know if I am wrong.</em></h3>
Answer:
Step-by-step explanation:
To find the inverse function, solve for y:
![x=f(y)\\\\x=4y^4\\\\\dfrac{x}{4}=y^4\\\\\pm\sqrt[4]{\dfrac{x}{4}}=y\\\\f^{-1}(x)=\pm\sqrt[4]{\dfrac{x}{4}}](https://tex.z-dn.net/?f=x%3Df%28y%29%5C%5C%5C%5Cx%3D4y%5E4%5C%5C%5C%5C%5Cdfrac%7Bx%7D%7B4%7D%3Dy%5E4%5C%5C%5C%5C%5Cpm%5Csqrt%5B4%5D%7B%5Cdfrac%7Bx%7D%7B4%7D%7D%3Dy%5C%5C%5C%5Cf%5E%7B-1%7D%28x%29%3D%5Cpm%5Csqrt%5B4%5D%7B%5Cdfrac%7Bx%7D%7B4%7D%7D)
f(x) is an even function, so f(-x) = f(x). Then the inverse relation is double-valued: for any given y, there can be either of two x-values that will give that result.
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A function is single-valued. That means any given domain value maps to exactly one range value. The test of this is the "vertical line test." If a vertical line intersects the graph in more than one point, then that x-value maps to more than one y-value.
The horizontal line test is similar. It is used to determine whether a function has an inverse function. If a horizontal line intersects the graph in more than one place, the inverse relation is not a function.
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Since the inverse relation for the given f(x) maps every x to two y-values, it is not a function. You can also tell this by the fact that f(x) is an even function, so does not pass the horizontal line test. When f(x) doesn't pass the horizontal line test, f^-1(x) cannot pass the vertical line test.
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The attached graph shows the inverse relation (called f₁(x)). It also shows a vertical line intersecting that graph in more than one place.
The product of 3 1/5 and 5/8 is 2.
When you divide fractions, you change each to its reciprocal, then you look multiply them. Using reciprocals helps you easily solve the problem.