Given f(x) = 5x2 - 4 and g(x)= 5 - 3x2, find the following expressions.
(a) (fog)(4)
(b) (gof)(2) (c) (f of)(1)
(d) (gog)(0)
(a) (fog)(4) =
(Simplify your answer.)
(b) (gof)(2) =
(Simplify your answer.)
(c) (fof)(1) = (Simplify your answer.)
(d) (gog)0) = (Simplify your answer.)

5/12, or 5: 12

step-by-step explanation:

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