ccaminero36 ccaminero36
  • 20-09-2018
  • Mathematics
contestada

Given that f(x) = x2 − 3x + 3 and g(x) = the quantity of x minus one, over four , solve for f(g(x)) when x = 5. (1 point)

Respuesta :

altavistard
altavistard altavistard
  • 20-09-2018

Rewrite g(x) as    x-1

                           ------

                              4

and then substitute this result for x in f(x) = x^2 - 3x + 3:

f(g(x)) = (x-1)^2 / 4^2 - 3(x-1)/4 + 3.

At this point we can substitute the value 5 for x:

f(g(5)) = (5-1)^2 / 4^2 - 3(5-1)/4 + 3

          = 16/16 - 3(4/4) + 3 = 1 - 3 + 3 = 1

Therefore, f(g(5)) = 1.

Answer Link

Otras preguntas

What's the movement of a stationary object?
Points of intersection??? a)x^2+y^2=5 x-y=1 b)y=x^3-4x y=-(x+2) c)y=x^3-2x^2+x-1 d)x=3-y^2 y=x-1
What is the missing exponent 6(____)^4=6^20Please answer my question fast!
Renee is going to the lake to visit some friends. If the lake is 60 miles away and Renee is driving at 40 miles per hour the entire time, how long will it take
What is the rate and unit rate of 40 meters in 16 seconds
Compare and contrast critical thinking and inference
What is the factor tree for 184
What's the movement of a stationary object?
Why were early people able to use the Bering Land Bridge
What serious difficulties did the Virginia colonists face from the moment they landed?