What is (f⋅g)(x)? f(x)=x3−4x+2 g(x)=x2+2 enter your answer in the box. (f⋅g)(x)=

(question3.11)

+ + + 2

Step-by-step explanation:

f(x) = - 4x + 2

g(x) = + 2

To find fg(x) , we have

fg(x) = f( + 2 )

The next thing is that , we will substitute   + 2 for the value of x in f(x) , so we have:

- 4( + 2) + 2

which will give

+ + + 2

Therefore :

fg(x) = + + + 2

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752