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liberstina [14]
3 years ago
14

If f(x) = x2 – 1 and g(x) = 2x – 3, what is the domain of (f circle g) (x)?

Mathematics
2 answers:
Ulleksa [173]3 years ago
8 0

Answer:

28 should be the answer pls.

Step-by-step explanation:

Ket [755]3 years ago
6 0

Answer:

(-∞, ∞)

Step-by-step explanation:

f circle g (x) is another way of expressing f(g(x)). Basically, we have to plug g(x) into f(x) wherever we see x's.

f(x) = x^2 - 1

f(x) = (2x-3)^2 - 1

Now find the domain. I think the easiest way to do this is to graph it. I've attached the graph. You can also do it algebraically by thinking about it: it's a positive parabola (+x^2) and its minimum is -1, so its range will not be all real numbers, but its domain will certainly be. (The range would be answer choice B!)

Domain = (-∞, ∞)

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Answer:

A 100 lb person will weight 40 lb on Mars

Step-by-step explanation:

Given:

Weight on Mars directly varies as its weight on earth.

Let weight on Mars be = M

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Its known that:

M ∝ E

Thus

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when  E=95\ lb, then M=38\ lb

thus, we have

38=k(95)

dividing both sides by 95.

\frac{38}{95}=\frac{k(95)}{95}

∴ k=\frac{38}{95}

Thus when E= 100, M would be calculated as

M=\frac{38}{95}\times 100

M=\frac{3800}{95}

∴ M=40\ lb  (Answer)

∴ A 100 lb person will weight 40 lb on Mars.

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2 years ago
Determine if the following sequence is an Arithmetic Sequence. If it is, what would be the 31st term? NOTE: an=a1+(n-1)d
Ivan
<h3>Key points :-</h3>

᪥ The formula to find the 31st term is : \sf \: a_{n} =  a_{1} + (n - 1) \times d

᪥ In the formula, \sf \: a_{1} represents the first term of the sequence.

᪥ \sf\:n is the number of terms, In our case n is 31.

᪥ \sf\:d is the common difference between the terms, In our case d is 4.

\green{ \rule{300pt}{3pt}}

<em>Detailed Solution is attached</em>᭄

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