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1. Let \(f(x) = 4x - 7\)\(g(x) = (x + 1)^2\), and \(s(x) = f(x) + g(x)\). What is \(s(3)\)?

2. Let \(f(x) = 2x^2 + 3x - 9\)\(g(x) = 5x + 11\), and \(h(x) = -3x^2 + 1\). Find \(f(x) - g(x) + h(x)\).

3. Let \(f(x) = 3x + 2\) and \(g(x) = x^2 - 5x - 1\). Find \(f(g(x))\).

4. The function \(f(x)\)satisfies \(f(\sqrt{x + 1}) = \frac{1}{x}\) for all \(x \ge -1\)\(x\neq 0\). Find \(f(2)\).

 

If you can, please provide an explanation. Thank you!

 Feb 27, 2021
 #1
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1. s(3) = 37.

 

2. f(x) - g(x) + h(x) = -x^2 + 8x + 3.

 Feb 27, 2021

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