Answer:
The value of f(g(3) = 1,008
Step-by-step explanation:
<u>Step:-1</u>
Given f(x) =
and g(x) = 3x+9
h(x) = 12+x
Given g(x) = 3x+9
put x =3
g(3) = 3(3)+9
<u> g(3) = 18</u>
<u>Step :-(2)</u>
f(g(3)) = f(18)
f(g(3) = 3(18)^2 +2(18) (since f(x) =)
= 1,008
<u>Final answer</u>:-
The value of f(g(3) = 1,008
1. Let the four consecutive numbers be x, x+1, x+2, x+3
The sum of four consecutive number is already given to us = 70
Therefore
⇒(x)+(x+1)+(x+2)+(x+3)=70
We need to combine x as we have four x terms in the equation. The next step is to get all of the x’s on one side of the equation and all the numbers on the other side. The same rule applies – whatever you do to one side of the equation, you must do to the other side as well!
⇒4x+6=70⇒4x=64⇒x=16
So, the four numbers are 16, 17, 18 and 19.
Hence, the greatest number among them is 19.
It is given that the third terms is obtained by multiplying the second term by 2 and then adding 3:
Since the third term is 17, we have
And then again, the second term is obtained by multiplying the first one by 2 and then adding three:
Solve this equation for 
and you'll get the answer
(14 1/2)/(1 1/4) change both to improper fractions
(29/2)/(5/4) invert second function (or the denominator fraction) and multiply.
(29/2)*(4/5) multiply...
58/5 change improper fraction back to mixed fraction
11 3/5 or a decimal 11.6
198 divided by 5 is 39.
Hope this helps!
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