Which of the following are solutions to the equation below? Check all that apply. 9x2 – 64 = 0
2 answers:
Answer:
x= 8/3 and x= -8/3
Step-by-step explanation:
Remember the difference of two squares method
a²- b²= (a+b) (a-b)
Given;
9x²-64=0
We notice 9 and 64 are in square form thus can be written as
(3x-8) (3x+8)....................................applying the difference in squares method to simplify
Solving for x
(3x-8) (3x+8) =0
3x-8=0
3x=8
x= 8/3
or
3x+8=0
x= -8/3
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Answer:
g(f(x)) = x
Step-by-step explanation:
You are given f(x) = -4x - 1 and g(x) = . Keep in mind that f(x) or g(x) is the same as a y = equation, but two separate equations.
You are trying to find g(f(x)), which means that you will use f(x) and substitute this value into the x value in the equation of g(x).
It will look like: g(-4x - 1) =
Now evaluate the expression to solve the problem. Start by combining like terms.
You are left with -4x/-4. We can simplify this even further by dividing both sides of the fraction by -4/-4. The -4's cancel out and become 1's, so you are left with: