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galben [10]
3 years ago
13

Find (f • g) when f(x) = x^2 + 5x + 6 and g(x) = 1/x+3

Mathematics
2 answers:
Nikitich [7]3 years ago
8 0

Answer:

option D

Step-by-step explanation:

f(x) = x^2 + 5x + 6

g(x)= \frac{1}{x+3}

(fog)(x) = f(g(x))

Plug in g(x) in f(x)

We plug in 1/x+3 in the place of x  in f(x)

f(g(x))= f(\frac{1}{x+3})= (\frac{1}{x+3})^2 + 5(\frac{1}{x+3}) + 6

To simplify it we take LCD

LCD is (x+3)(x+3)

\frac{1}{(x+3)(x+3)}+5\frac{1*(x+3)}{(x+3)(x+3)}+\frac{6(x+3)(x+3)}{(x+3)(x+3)}

\frac{1}{x^2+6x+9}+\frac{(5x+15)}{x^2+6x+9}+\frac{6x^2+36x+54}{x^2+6x+9}

All the denominators are same so we combine the numerators

\frac{1+5x+15+6x^2+36x+54}{x^2+6x+9}

\frac{6x^2+41x+70}{x^2+6x+9}

Option D is correct

spayn [35]3 years ago
4 0

Answer:

The correct option choice is D. 6x^2 + 41x + 70 / x^2 +6x + 9


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To find the z-score, we will use the formula;

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From the z-distribution table attached, we have;

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B) solving this is almost the same as in A above, the only difference is an additional 10 minutes to the time.

Thus, total time is now 250 + 10 = 260 minutes

Similar to the z-formula in A above, we have;

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3 years ago
HELP ASAP PLEASE.
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Answer:

pls give brainlist

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a. \frac{50 blocks (L)}{9 blocks(W)\\}  50 x 9 = 450. A=450

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Then we can enlarge it however we want so,

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If the statement above is true then we can scale times 4.

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A= \frac{42}{12\\}

all i can give u at the moment , if u go on M a t h w a y it can help

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