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3 years ago

F(x) = \sqrt{x+8} ; g(x) = 8x - 12 Find f(g(x)).

Mathematics

1 answer:

mestny [16]3 years ago

7 0

$\mathbf{Task.} ~ f(x)=\sqrt{x+8}; ~ g(x)=8x-12. ~ \mathrm{Find} ~ f(g(x)).$

$f(g(x))=\sqrt{g(x)+8}=\sqrt{8x-12 + 8}=\sqrt{8x-4}=$

$=\sqrt{4(2x-1)}=2\sqrt{2x-1}.$

$Answer \colon f(g(x))=2\sqrt{2x-1}. ~ \blacktriangle$

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Patrick is keeping track of how far he jogs each morning.

katrin2010 [14]

Answer:

21:50

Step-by-step explanation:

We need to find the ratio of 420 m to 1 km.

We know that,

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So,

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3 years ago

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liubo4ka [24]

Answer:

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Step-by-step explanation:

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2 years ago

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IgorLugansk [536]

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3 years ago

Simplify the expression if possible 4^3 × 4^5 and write you answer as a power ( using exponents )

alexgriva [62]

Answer:

4^8

Step-by-step explanation:

If you are multiplying two bases that are the same with different exponents, the exponents get added and the base stays the same:

$x^a*x^b=x^{a+b}\\\\4^3*4^5=4^{3+5}\\\\4^3*4^5=4^8$

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2 years ago

Which of the following sets of points are vertices of a right triangle?

grandymaker [24]

Please find the picture for your triangle.
We know, area of a ∆ = 1/2 × base × height
Here, base = ( 1 + 7 ) units = 8 units
Height = ( 7 - 1 ) units = 6 units
Therefore, area of the ∆
= (1/2 × 8 × 6) square units
= 24 square units.

Answer:

24 square units

Hope you can get an idea from it.

Carry on learning.

Doubt clarification - use comment section.

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3 years ago