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2 years ago

What is the function of f(g(x)) if f(x)= x^2+1 and g(x)=3x

Mathematics

1 answer:

galina1969 [7]2 years ago

7 0

Step-by-step explanation:

For this composition function, $f(g(x))$ , we should substitute $g(x)$ anytime we see an $x$ variable in $f(x)$ :

$x^{2} + 1$

$[g(x)]^{2} + 1$

$(3x)^{2} + 1$

$9x^{2} + 1$

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Mark walks 1/2 miles in 3/4 of an hour what is the unit rate per hours

lana [24]

Answer:

$unit \: rate = \frac{distance}{time} \\$

substitute:

$unit \: rate = \frac{( \frac{1}{2} )}{ ( \frac{3}{4}) } \\ \\ = \frac{1}{2} \div \frac{3}{4} \\ \\ = \frac{1}{2} \times \frac{4}{3} \\ \\ = \frac{4}{6} \\ \\ = { \underline{ \: \: \frac{2}{3} \: \: miles \: per \: hour \: \: }}$

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2 years ago

elise bought 5 boxes of cereal and 2 gallons of milk for a total cost of $31.24 each box of cereal cost $ 4.80 enter the cost in

vitfil [10]

Answer:

7.24

Step-by-step explanation:

Multiply 5 boxes of cereal by the cost of cereal

31.24 minus that number gives the answer

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2 years ago

The graph of h(x) is a translation of f(x)=3 √x

Gnoma [55]

Answer:

$h(x)=\sqrt[3]{x+2}$

Step-by-step explanation:

we have

$f(x)=\sqrt[3]{x}$

The inflection point of f(x) is the point $(0,0)$

The inflection point of h(x) is the point $(-2,0)$ -----> see the given graph

the rule of the translation of f(x) to h(x) is

$(x,y)------> (x-2,y)$

That means------> The translation is $2$ units to the left

therefore

The equation of h(x) is equal to

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3 years ago

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How can you write the improper fraction 263/10 as a decimal?

insens350 [35]

Answer:

263/10 as a decimal equals 26.3

Step-by-step explanation:

To write 263/10 as a decimal you have to divide numerator by the denominator of the fraction.

We divide now 263 by 10 what we write down as 263/10 and we get 26.3

hope this answer correct :)

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2 years ago

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