If f(x)=5x + 2 and g(x)=1/2x+4 , find g(f(12))

35

Step-by-step explanation:

f(x)=5x + 2

g(x)=1/2x+4

g(f(12))=

Find f(12) = 5*12 +2 = 60+2 = 62

Then find g(62) = 1/2 (62) +4 = 31+4 = 35

g(f(12) = 35

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

dc=6 square root of 3 and ac is 12 square root 3

c and d

step-by-step explanation:

square root of 3/2 = 18/c

cross multiply to get 18*2=√3*c

36/√3 * √3/√3 = c

c= 36*√3/3

c=12√3