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Alexus [3.1K]
3 years ago
8

Let f(x)=2x-1 and g(x)=x^2 -3. Find (f o g)(-3)

Mathematics
1 answer:
anzhelika [568]3 years ago
6 0
(f o g)(-3) = (f(g(-3))
Because g is on the inside, we carry out g first.

g(x) = x^2 - 3
Substitute -3 in for x.
g(-3) = (-3)^2 - 3 = 9 - 3 = 6
g(-3) = 6

Next, carry out f on the result of g(-3)
f(6) = 2(6) - 1
      = 12 - 1
      = 11
So the answer is 11.

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Which expression is equivalent to ^3√216x^27? 6x3 6x9 72x3 72x9
hichkok12 [17]
To solve this problem you must apply the proccedure shown below:
 1. You have the following expression given in the problem above:
 \sqrt[3]{216 x^{27} }
 2. Rewriting the expression we have: 
 \sqrt[3]{6^3 x^{27} }
 3. You have that 6^3 and the exponent 27
 are divisible by index 3
. Therefore, you have:
 \sqrt[3]{216 x^{27} } =6 x^{9}
 Therefore, as you can see,
 the answer is the option, which is: 6 x^{9} 

8 0
2 years ago
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Order least to greatest 0.5,3.16,0.75,11/48
lys-0071 [83]

11/48=.23

11/48, .5, .75, 3.16

Hope this helps

8 0
3 years ago
What bag is heavier 2 kilograms or 3000grams​
pav-90 [236]

3000 grams because 2 kilograms is 2000 grams and 3000 is greater than 2000

3 0
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Mark currently works part-time with a salary of $8,000 per year. mark plans to quit working and attend college for 4 years. if h
BARSIC [14]
For the answer to the question above asking <span>how long will it take a mark to recover his investment assuming he has a salary of $32,000 upon graduating?

The answer is </span>Mark will lose:
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= $96,000 in total
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6 0
2 years ago
For the given functions f and g, complete parts (a)-(h). For parts (a)-(d), also find the domain.
slamgirl [31]

The domain for (a) , (b) , (c) is all set of real numbers , for (d) (x ε R except x = 3/8.

The complete question is

a) (f + g)(x), (b) (f – g)(x), (c) (f × g)(x), (d) (f / g)(x), (e) (f + g)(7), (f) (f - g)(2), (g) (f.g)(3), (h) (f/g)(27)

<h3>What is a Function ?</h3>

A function is the law that defines the relation between independent and a dependent variable.

It is given that

f(x) = 3x+8

g(x) = 8x-3

(a)  (f + g)(x) = 3x+8 +8x-3 = 11x+5

(b)  (f – g)(x) = 3x+8 -8x+3 = -5x +11

(c) (f × g)(x) = (3x+8)(8x-3) = 24x²-9x+64x -24 = 24x² +55x-24

(d)(f / g)(x) = (3x+8)/(8x-3)

(e) (f + g)(7) = 11*7+5 = 77+5 = 82

(f) (f - g)(2)= -5*2 +11 = 1

(g) (f.g)(3) =24*9 +55*3 -24 = 357

(h)  (f/g)(27) = (3x+8)/(8x-3)  = (3 * 27 +8)/(8*27-3) = 89/213

The domain for (a) , (b) , (c) is all set of real numbers , for (d) (x ε R except x = 3/8)

To know more about Function

brainly.com/question/12431044

#SPJ1

3 0
1 year ago
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