Question 2:

given the following functions:

f(x) = x^2

g(x) = x - 3

find the composition of the two functions and show your process:

g(f(x))

question 3:

if the composition of two functions is:

1
x - 3

what would be the domain restriction? describe how you found that answer.

2:

3: x ≠ 3

Step-by-step explanation:

2 : Here the given functions,

( From equation (1) ),

    ( From equation (2) )

3 :

Since, it is a rational function,

A rational function is defined for all real numbers except those for which,

Denominator = 0,

If x - 3 = 0

⇒ x = 3

So, Domain of h(x) = R - {3}

i.e., the domain restriction for h(x) is x ≠ 3

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)

idk

step-by-step explanation: