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3 years ago

Find the slope of (-2, 8) and (4, 6)

Mathematics

1 answer:

strojnjashka [21]3 years ago

6 0

Answer:

-1/3

Step-by-step explanation:

y2-y1 divided by x2-x1

6-8=-2(y slope)

4--2=6(x slope)

-2/6=-1/3 or -0.3333

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Story short the answer is 25

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2 years ago

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seropon [69]

Answer:

(b) 5k+1

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https://www.symbolab.com/solver/step-by-step/simplify%20%5Cfrac%7B30k%5E%7B2%7D%2B6k%7D%7B5k%2Bk%7D

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3 years ago

Find the f^-1(x) and it’s domain

borishaifa [10]

Answer:

$f^{-1}(x) = (x + 8)^2$

$x \ge -8$

Step-by-step explanation:

Given

$f(x) = \sqrt x - 8$

Solving (a): $f^{-1}(x)$

We have:

$f(x) = \sqrt x - 8$

Express f(x) as y

$y = \sqrt x - 8$

Swap x and y

$x = \sqrt y - 8$

Add 8 to $both\ sides$

$x + 8 = \sqrt y - 8 + 8$

$x + 8 = \sqrt y$

Square both sides

$(x + 8)^2 = y$

Rewrite as:

$y = (x + 8)^2$

Express y as: $f^{-1}(x)$

$f^{-1}(x) = (x + 8)^2$

To determine the domain, we have:

The original function is $f(x) = \sqrt x - 8$

The range of this is: $f(x) \ge -8$

The $domain$ of the $inverse$ function is the $range$ of the $original$ function.

Hence, the domain is:

$x \ge -8$

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2 years ago