What is the value of f(g(2))?

Step-by-step explanation:

if g(x) and f(x) are inverses, then the outputs of f(x) are the inputs of g(x) and the inputs of f(x) are the outputs of g(x)

So f(g(2))=f(-3) because the value at which f(x)= 2 is -3

f(-3)= 2

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)