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Usimov [2.4K]
3 years ago
5

Given the definitions of f(x) and g(x) below, find the value of (fog)(-8).

Mathematics
1 answer:
Masja [62]3 years ago
3 0

Answer:

(f \circ g)(-8) = 16

Step-by-step explanation:

The given function are;

f(x) = x² - 3·x - 12, and g(x) = -x - 12

(f \circ g)(x) = f(g(x))

Therefore;

(f \circ g)(-8) = f(g(-8))

g(-8) = -(-8) - 12 = 8 - 12 = -4

∴ f(g(-8)) = f(-4) = (-4)² - 3×(-4) - 12 = 16

Therefore;

(f \circ g)(-8) = f(g(-8)) = 16

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hat is the approximate distance between Portland, Oregon (45° north, 122° west), and San Francisco, California (37° north, 122°
juin [17]
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8 0
3 years ago
Find the ordered pair whose x-coordinate is 5. 4x=6y+8
sukhopar [10]

(6, 2 )

substitute x = 5 into the equation and solve for y

6y + 8 = 20 ( subtract 8 from both sides )

6y = 12 ( divide both sides by 6 )

y = \frac{12}{6} = 2

the ordered pair is (5, 2 )


6 0
3 years ago
Read 2 more answers
Problem page three consecutive even integers have a sum of 36 . find the integers.
ANTONII [103]
3 consecutive even integers = 36 .
ANSWER 10+12+14= 36
6 0
3 years ago
A) Between x 2 and x 3, which function has a greater average rate of change than f(x)=1/6^-x
Arturiano [62]

Answer:

4^x+1

Step-by-step explanation:

because i got it wrong

3 0
3 years ago
Who can help me answer this question ASAP please and thank you please show work
kotegsom [21]

I'll do the first one to get you started

So we have g(f(x)) which means that we start with g(x) and replace the 'x' with 'f(x)' to get g(f(x))

g(x) = ( x - 4 )/2

g(f(x)) = ( f(x) - 4)/2 .... replace every x with f(x)

g(f(x)) = (2x+4-4)/2 .... replace f(x) on the right side with 2x+4

g(f(x)) = (2x+0)/2

g(f(x)) = (2x)/2

g(f(x)) = 1x/1

g(f(x)) = 1x

g(f(x)) = x

Let me know if you need help with the other one.

4 0
3 years ago
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