3 years ago

Inverse of f(x) =e^2x- 4

Mathematics

1 answer:

nikitadnepr [17]3 years ago

3 0

Answer:

f−1(x)=ln(x+4)/ 2

Step-by-step explanation:

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Consider this system of equations. Which equation represents the first equation written in slope-intercept form? 5 x minus 2 y =

frosja888 [35]

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$y = \frac{5x}{2} - 5$

Step-by-step explanation:

Given the equation 5x - 2y = 10, to write the equation in slope-intercept form, we need to write it in the standard format y = mx+c where m is the slope/gradient and c is the intercept.

From the equation given 5x - 2y = 10, we will make y the subject of the formula as shown;

$5x - 2y = 10\\\\subtract \ 5x \ from \ both \ sides\\\\5x - 2y - 5x = 10 - 5x\\\\-2y = 10-5x\\\\Dividing \ both \ sides\ by \ -2;\\\\\frac{-2y}{-2} = \frac{10-5x}{-2}\\ \\$

$y = \frac{10}{-2} - \frac{5x}{-2} \\\\y = -5 + \frac{5x}{2}\\\\y = \frac{5x}{2} - 5$

Hence the equation that represents the first equation written in slope-intercept form is $y = \frac{5x}{2} - 5$

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