SOLUTION: Let f(x)=x^2-1 and g(x)=1-2x Find the indicated values f(g(-1)) and g(f(-1) I have 4 of these types of questions on my homework and have no idea how to solve them. This is the fi

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Question 647815: Let f(x)=x^2-1 and g(x)=1-2x Find the indicated values
f(g(-1)) and g(f(-1) I have 4 of these types of questions on my homework and have no idea how to solve them. This is the first one so there is other equation to help! Thanks!!

Answer by Algebraic(50)   (Show Source): You can put this solution on YOUR website!
You need to plug in the inner value first and then you can do it all together.
Original equations: and
Find and
Step 1: We'll begin by doing this equation first:
You're going to want to solve first.

Step 2: Simplify


So, now we know that , so let's replace '3' into the equation.
Step 1: Replace '3' into the equation

Step 2: Simplify


The answer to is 8.
Let's do the other equation now ()
You're going to want to solve first.
Step 1: Replace '-1' into the f(x) equation



Now we know that , so let's replace '0' into the equation.
Step 1: Replace '0' into the equation

Step 2: Simplify


The answer to is 1.

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