1. If f(x) = x² + 1 and g(x) = (x + 3)" determine domain and range of following functions F'(x)) = ((x+3) 11 Y=f*¹(g(x)) Y=f(g(x)) 2. If f(x) = -x² + 2x-4 g(x)=1/(2x+4) find g(f(-1)), f(g(-1)). 3. Describe the feature of each functions. ( f(x) = 2x³-5x² - 4x + 1 f(x) = -x-x³ + 3x² + 4x-6 4. For the function y = -2x57 circle the answer. Is it a polynomial function? Yes No Describe the end behaviors using infinity notation.

Q: - x + 1 If f(x) = find (fof) (x). X - 1

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A: Given that g(x)=34f(x) Here we need to create the function table.   For that, We need to take values…

Q: 5) For functions f (x) = x² – 15x + 45 and g(x) = x - 9, find |(x)

A: f(x)=x2-15x+45, g(x)=x-9, (fg)(x)=?f(x)=x2-15x+45  g(x)=x-9  Now fgx=f(x)g(x)             [Quotient]

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A: Suppose that fx and gx are two functions and we know that,  f-3=2g-3=5f'-3=-1g'-3=-2 To find the…