Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Explore our Q&A platform to find reliable answers from a wide range of experts in different fields. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

If f(x)=(4x-3) / 2 and g(x) =(2x+3) / 4, which of the following is true?

A f(g(x)) =1
B f(g (x)) = 0
C f(g(x))=-1
D f(g(x)) = x

Sagot :

Answer:

f(g(x))= x

Step-by-step explanation:

f(x)=(4x-3)/2

g(x) =(2x+3)/4

f(g(x)) means use the value obtained from g(x) in the equation defined by f(x).  Since g(x) =(2x+3)/4, we can substitute (2x+3)/4 in place of the x in f(x).

If f(x)=(4x-3)/2 then use the expression (2x+3)/4 in place of "x" in (4x-3)/2

f(x)  =    (4x-3)/2

g(x) =       (2x+3)/4

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

f(g(x))=(((8x+12)/4)-3)/2

f(g(x))= (2x+3-3)/2

f(g(x))= 2x/2

f(g(x))= x

We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.