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timurjin [86]
2 years ago
10

G(×)=(3×+12)/4 Find g^-1(×) g^-1(6)

Mathematics
1 answer:
fiasKO [112]2 years ago
5 0

Answer:

fog)(x)=f(g(x))=2(3x+2)−1=6x+4−1=6x+3=3(2x+1)

f

(

x

)

=

3

−

2

x

,

g

(

x

)

=

3

x

2

+

2

Set up the composite result function.

g

(

f

(

x

)

)

Evaluate

g

(

f

(

x

)

)

by substituting in the value of

f

into

g

.

g

(

3

−

2

x

)

=

3

(

3

−

2

x

)

2

+

2

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Three times the variable m minus four is equal to fourteen.

Another way could be:

Four less than three multiplied by m is equivalent to fourteen.


The first way I put it is simpler but if you really want to impress your teacher then I suggest going with the second way.

Also if you are looking to solve the equation then it would be:

3m - 4 = 14

      +4   +4

     ------------

       3m = 18

      -----    -----

         3        3

m = 5


Hope that helped :-)

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