What is g(f(x)) when f(x) = 3x + 1 and g(x) = 4x2 - 4?
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Answer:
3.7
Step-by-step explanation:
Inversely means we are taking the constant and dividing it.
So y varies inversely with x means "y=k/x".
k is a constant. We can find the constant if they give us a point on this curve.
The constant is a number that doesn't change no matter your input and output.
So they actually give us k=8.88 and y=2.4 so let's input this:
We need to solve this equation for x. You can do your favorite thing in cross-multiply. But how, Freckles? Well just slap a 1 underneath that 2.4. You can do that because 2.4/1 is still 2.4.
Cross-multiply:
Divide both sides by 2.4:
when
.