Consider the following system of equations. f(x) = x² + 9x - 3
g(x) = 9x – 84 .

where is f(x) = g(x)? select all that apply.

a)-9. b)-9i. c)-3. d)0. e)9. f)9i

Only for the value of x = -9 i, f(x) = g(x)

Step-by-step explanation:

Here,

Now, find the values of the given functions:

A)  at x = -9

⇒ f(-9) ≠ g(-9)

B) at x = -9i

⇒ f(-9i) =  g(-9i)= -84 - 81i

C) at x = -3

⇒ f(-3) ≠ g(-3)

D) at x = 0

⇒ f(0) ≠ g(0)

E) at x = 9

⇒ f(9) ≠ g(9)

F) at x = 9i

⇒ f(-9i)  ≠  g(-9i)

Hence, only for x = -9i, f(x) = g(x)

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.