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Problem Solving (PS) | Re: h(x) = 2x - 1 and g(x) = x^2 - 3. If g(m) = 61, what is h(m) if m > 0?

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Given that\( h(x) = 2x -1\) and\( g(x) = x^2 -3\) and\( g(m) =61\) and we need to find the value of\(h(m)\) if\( m >0\)

To find g(m) we need to compare what is inside the bracket () in g(m) and g(x)

=> We need to substitute x with m in\( g(x) = x^2 -3\) to get the value of g(m)

=>\( g(m) = m^2 -3\) = 61 (given)
=>\(m^2\) = 61 + 3 = 64 =\(8^2\)
=> m = 8

Similarly, h(m) = 2*m - 1 = 2*8 - 1 = 16 - 1 = 15

So, Answer will beD
Hope ithelps!

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