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1 year ago

Find the inverse, picture below!

Mathematics

1 answer:

Setler79 [48]1 year ago

8 0

Answer:

$f^{-1}(x) = (x+7)^2$

Step-by-step explanation:

$y=f(x) = \sqrt x - 7 \\\\\text{Replace x with y and then solve for y:}\\\\~~~~~~~~x= \sqrt y -7\\\\\implies \sqrt y = x+7\\\\\implies y = (x+7)^2\\\\\implies f^{-1}(x) = (x+7)^2$

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Read 2 more answers

Write the equation of the line in fully simplified slope-intercept form.

Lina20 [59]

Answer:

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Step-by-step explanation:

Hi there!

Slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when x=0)

1) Determine the slope (m)

$m=\displaystyle \frac{y_2-y_1}{x_2-x_1}$ where two points that fall on the line are $(x_1,y_1)$ and $(x_2,y_2)$

Given the graph, we determine which points we could use. For example, we could use the two points $(0,2)$ and $(1,-4)$ :

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Therefore, the slope of the line is -6. Plug this into $y=mx+b$ :

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2) Determine the y-intercept (b)

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