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Oliga [24]
3 years ago
8

Find f(x) and g(x) so the function can be expressed as y = f(g(x)). y = (8/x^2) + 4

Mathematics
1 answer:
rjkz [21]3 years ago
6 0
Y=f(g(x))      and      y= \frac{8}{x^{2}}+4


our aim is to express f as a function of g, where g is a function itself, of x.

in the expression tex]y= \frac{8}{x^{2}}+4 [/tex] we may notice 2 functions:

the squaring x function, which may well be our g: g(x)= x^{2}

and the "8 divided by x, +4" function: f(x)= \frac{8}{x}+4


check : 

f(g(x))= \frac{8}{g(x)}+4

because whatever the input of f is, it divides it from 8, and adds 4 to the division. 

since, g(x)= x^{2}, 

f(g(x))= \frac{8}{g(x)}+4=\frac{8}{x^{2}}+4


Answer:

g(x)= x^{2}

f(x)= \frac{8}{x}+4
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Select all the equations that have {7} as its solution set. 65−2x=6x+9 9−x=14x 3+4x=5x−4 x2+1=8x−5
luda_lava [24]

Answer:

the answer is this hope it helps im not sure if its all right good luck.

Step-by-step explanation:

A. 65-2x=6x+9

B. 9-x=14x

C. 3+4x=5x-4

d is wrong

5 0
3 years ago
HELP PLEASE THE QUESTION IS ON THE PICTURE!!
aev [14]
If he runs 30 minutes a day and does a lap in 5 minutes then divide 

6 0
3 years ago
Jack is in a helicopter and looking down at two friends’ homes. The angle of depression to the first home is 72°. The angle of d
alexandr402 [8]

The distance between the helicopter and the first home is 369. 87 m

<h3>How to solve the distance using the angle of depression?</h3>

The distance between the helicopter and the first home can be found using sine law,

Hence,

180 - 72 - 49 = 59 degrees.

Therefore,

420 / sin 59 = A / sin 49°

where

  • A  = distance form the first home to the helicopter.

cross multiply

420 sin 49 = A sin 59°

A = 420 sin 49 / sin 59

A = 316.978023694 / 0.8571673007

A = 369.869339199

A = 369. 87 m

Therefore, the distance between the helicopter and the first home is 369. 87 m

learn more on angle of depression here: brainly.com/question/1976859

#SPJ1

5 0
2 years ago
Y =1/4x + 3<br> Y = -1<br> Help me
kap26 [50]

Y = 7  

Explication pas à pas:

x est -3 donc -3 et connectez le x.

Y = -1 / 3 (-3) +5.

Y = 1 + 5

Y = 7

7 0
4 years ago
What is (9x 2/3) x 2/3
Montano1993 [528]

Answer:

4

Step-by-step explanation:

(9 x 2/3) x 2/3

9x 2 = 18

18/3 = 6

6 x 2 = 12

12/3 = 4

(9 x 2/3) x 2/3 = 4

6 0
2 years ago
Read 2 more answers
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