X=5 , x=3 - just plug in 2 and 3 into x and the lines will make it positive instead of negative
Answer:
The inverse function of f(x) is ... f⁻¹(x) = log (x/9.16)/log (1.0054)
Step-by-step explanation:
Starting equation... f(x) = 9.16(1.0054)ˣ
Visually rewritten... y = 9.16(1.0054)ˣ
Flipping x and y... x = 9.16(1.0054)ʸ
Isolating (1.0054)ʸ... x/9.16 = (1.0054)ʸ
Taking the log of both sides... log (x/9.16) = y log (1.0054)
Isolating y... log (x/9.16)/log (1.0054) = y
Solution... y = log (x/9.16)/log (1.0054)
Answer:
I think it is 0.9 minutes (I could be wrong though.)
Step-by-step explanation:
Answer:
72
Step-by-step explanation:
Answer:
45,135,315,225
Step-by-step explanation:
2cos^2x = 1
Divide each side by 2
cos^2x = 1/2
Take the square root of each side
sqrt( cos^2 x) = ±sqrt (1/2)
cos x =±sqrt (1/2)
Make into two separate equations
cos x =sqrt (1/2) cos x = - sqrt(1/2)
Take the inverse cos of each side
cos ^-1 cos (x) = cos ^-1 (sqrt (1/2)) cos ^-1 cos (x) = cos ^-1 (-sqrt (1/2))
x = cos ^-1 (sqrt (1/2)) x = cos ^-1 (-sqrt (1/2))
x = 45 +360 n x = 135+ 360n
x = 315+360 n x =225+360n
Between 0 and 360
45,135,315,225