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3 years ago

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If f(x) = x2 − 1, and f(2a) = 35, then what could be the value of a ?

1 answer:

Naily [24]3 years ago

5 0

<span>f(x)=<span>x2</span>−1</span>That means to find the value of the function at any value of x, we square x and subtract 1. If <span>x=2a</span>, we square <span>2a</span> and subtract 1:<span>f(2a)=(2a<span>)2</span>−1=4<span>a2</span>−1</span>Now, we know that <span>f(2a)=35</span>so we can find the value of a:<span>f(2a)=(2a<span>)2</span>−1=4<span>a2</span>−1=35</span><span>4<span>a2</span>−1+1=35+1</span><span>4<span>a2</span>=36</span><span><span>a2</span>=9</span><span><span>a=±3</span></span>

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