Write an equation in point-slope form for each line (If possible please show work)

Mathematics

1 answer:

UkoKoshka [18]3 years ago

7 0

Answer:

y - 1 = -1(x + 1)

Step-by-step explanation:

I found where these points were on the graph. The slope of the line is -1. I used the x and y values from the points and the slope to make the equation above.

Take the y-value of one point and subtract it from y. Do the same thing to the x-values.

By the way, I used the second point to make the equation, but either point could have been used.

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Please Help! Are F(x) and G(x) inverse functions across the domain [3,+∞)?

allochka39001 [22]

Answer:

Explanation:

For functions to be inverse, it must be true that f( g(x) ) = x and g( f(x) ) = x.

But for F( G(x) ), we have √( G(x) - 3 ) + 8

= √( (x+8)² - 3 - 3 ) + 8

= √( (x+8)² - 6 ) + 8

This -6 part should be cancelled out for functions to work out but we cannot do that, therefore F(x) and G(x) are not inverse.

5 0

3 years ago

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valentinak56 [21]

Step-by-step explanation:

$\huge \: 2 \sqrt{x} .4 {x}^{ - \frac{5}{2} } \\ \\ \huge \: = 2.4 {x}^{ \frac{1}{2} } . {x}^{ - \frac{5}{2} } \\ \\ \huge \: = 8 {x}^{ \frac{1}{2} - \frac{5}{2} } \\ \\ \huge \: = 8 {x}^{ \frac{1 - 5}{2} } \\ \\ \huge \: = 8 {x}^{ - \frac{4}{2} } \\ \\ \huge \: = 8. {x}^{ - 2} \\$