Consider the functions f and g where f(x) = − 3x - 5 and g x( ) = x - 2 . find the inverse function, f ^−1.

Inorder to find the inverse of any fuction

Suppose f(x)= x and x=y

X=-3y-5

Now try making y the subject of the equation.

(X+5)÷(-3) =y

Now

Y is the inverse of function of f(x)

the answer is d

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