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3 years ago

Given g(x) √x-4 and h(x) = 2x - 8

Mathematics

2 answers:

RoseWind [281]3 years ago

8 0

Answer:

Step-by-step explanation:

Given : g(x) = and h(x)=2x-8.

g*h(x) =(2x-8).

We have square root(x-6) in composite function f*h(x).

So, we need to find the domain, we need to check for that values of x's, square root(x-4\6) would be defined.

Square roots are undefined for negative values.

Therefore, we can setup an inequality for it's domain x-6≥0.

Adding 4 on both sides, we get

x-6+6≥0+6.

x≥6.

denpristay [2]3 years ago

3 0

Answer:

Step-by-step explanation:

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Jordan earns $15.35 per hour. on Tuesday , Jordan clocked in at 7:45 Am then clocked out for a break at 12:15 am and working unt

Vaselesa [24]

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Part A: 9 hours 45 minutes

Part B: $126.1575

Step-by-step explanation:

Part A,

From 7:45 to 12:15 is 4 hours and 30 minutes

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3 years ago

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Given that the points ( 16 , − 5 ) and ( − 40 , 16 ) lie on a line, what is the equation of the line? Select two answer.

djyliett [7]

Answer:

The equation of line with given points is Y = - $\frac{3}{8}$ X + 1

Step-by-step explanation:

Given as :

The points are ( 16 , - 5 ) And ( -40 , 16 )

The line equation in points form :

Y - y1 = m ( X - x1)

Where m is the slope of line

Now , m = $\frac{y2 - y1}{x2 - x1}$

Or, m = $\frac{16 +5}{-40 - 16}$

Or, m = $\frac{21}{- 56}$

SO, Y + 5 = m ( X - 16)

Put the value of slope

∴ Y + 5 = $\frac{21}{-56}$ ( X - 16)

Or, ( - 56) × ( Y + 5 ) = 21 X - ( 21 × 16 )

Or, - 56 Y - 280 = 21 X - 336

Or, - 280 + 336 = 21 X + 56 Y

Or, 56 = 21 X + 56 Y

∴ Y = - $\frac{21}{56}$ X + 1

Or, Y = - $\frac{3}{8}$ X + 1

Hence The equation of line with given points is Y = - $\frac{3}{8}$ X + 1 Answer

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