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3 years ago

The function f is defined by f(x) = 2x²-1. Find f (2x).

Mathematics

1 answer:

umka21 [38]3 years ago

5 0

Answer: $f(2x)=8x^2-1$

Step-by-step explanation:

All that is required here is to substitute x = 2x into the right side in the same way that is done for a numeric value.

$f(2x) = 2(2x)^2-1\\f(2x) = 2(4)x^2-1\\f(2x) = 8x^2-1\\$

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The answer to this question is:

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blagie [28]

Answer:

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Step-by-step explanation:

The equation you want to solve is the model with the given values filled in.

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1 year ago

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Step-by-step explanation:

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2 years ago

Which function has an asymptote at x = pi?

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Answer:

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Step-by-step explanation:

--------------------

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3 years ago

Write an equation in slope intercept form that goes through (-1,6) and (3,-2)

pochemuha

<h2>Answer:</h2>

First, we need to use <u><em>slope formula*</em></u> to find the slope.

$m = \frac{-2 - 6}{3 - (-1)} = \frac{-8}{4} = -2$

Second, we use the slope we found and <em>ONE</em> of the 2 points listed and plug it into <u><em>slope-intercept form**</em></u> to solve for <u><em>b</em></u>.

Here is what we have so far:

$m = -2$

I'm going to use this point:

$x = 3$

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Here is how to find <em>b</em>:

$-2 = -2(3) + b\\\\-2 = -6 + b\\\\4 = b$

Finally, we put all of it together and we have our equation.

$y = -2x + b$

*Slope formula: <em>m = y₂ - y₁/x₂ - x₁</em>

**Slope-intercept form: <em>y = mx + b</em>

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2 years ago