Given the function f(x) (a) f(x²) x + 7 write expressions for the following as rational functions in lowest terms.

Q: Find the domain of the following: f(x)=3/x-7

A: Function=3/(x-7)The function is defined at all points other than x=7.

Q: For  f(x) = x2 + 8x + 7,  evaluate  f(x + 2) − f(x).  Simplify

A: Given, f(x) = x2 + 8x + 7 f(x + 2) − f(x). =?

Q: Determine f(x - 1) for the following function. Answer f(x) = √√x-6+8 f(x - 1) =

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Q: f(z) = 2² + 3r + 1 and g(a) = 2x- 4x – 1

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Q: Determine the domain of the following rational function f (x) = 6 3x + 1 4x² – 16 all real number…

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Q: For f(x) = 7x +4 and g(x) = x, find the following composite functions and state the domain of each.…

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Q: For f(x) = (a) fog 2 X-9 1 and g(x)=x find the following composite functions and state the domain of…

A: The objective of this question is to find the composite functions g(f(x)), f(f(x)), f(g(x)), and…

Q: evaluate f(-2) if f(x)= x2+3

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Q: For the given function, find f(x) = 4x² + 7 f(x +h)-f(x) h = f(x+h)-f(x) h (Simplify your answer.)

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Q: Evaluate f(x) = x 2 find : f(3/4)

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Q: Find f(x) for the following function: f(x) 4 + 6 f(x) =

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Q: If f(x) = x2 – 6x and g(x) = 6 – x³, evaluate the following. %3D a. (f+ g)(- 2) b. (g - )(- 4) c. (f…

A: The given functions are f(x)=x2-6x  &  g(x)=6-x3