Find f(x) + g(x), f(x) – g(x), f(x) · g(x), –A, f(g(x)), and g(f(x)), if defined. (If an answer is undefined, enter UNDEFINED.) g(x) f(x) x2 + 3 g(x) = V2 - x

Q: What is the domain of f(x) = √(x – 5) / √x  (√ means “the square root of”)?

A: Given: f(x) = √(x - 5) / √x let's get the numerator:√(x - 5)x-5≥0x≥5let's get the denominator: √x…

Q: can you explain for what values of x is f(x)=x3-9x2+9x concave up?

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Q: Define f(x) = x2 + 2x-15 and g(x) = (√x+4)  (Note: x+4 all under square root) Give the value of…

A: We will find the value of (fg)(5) from the given information using the composition of functions.

Q: Show that the function g(x) = x³ – 7x² + 25x + 8 has exactly one real root- |

A: Given: gx=x3-7x2+25x+8 To show function gx has exactly one real root.

Q: what are the possible zeros of f(x)=−6x 5 7x 3 + 12?

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Q: if f(x)=x2-4  f(square root of x+4)

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Q: If f(x) = 2×, show that f(x + h) – f(x) = 2×( 2" -1). h Simplify your answers completely at each…

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Q: Suppose f(x): = f-¹(x) 4 10x +9

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Q: show that the difference quotient of f(x)=square root of x can be written as 1/the square root of…

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Q: Find the zeros of f(x) = x^2 − 6x + 10. Then, compute x1/x2 where x2 is the zero with positive…

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Q: Let f(x) -x² + x. Let g(x) = 6x - 4. Find the following: (a) f(5) + g(5) = 56 (b) f(6) g(6) = 1344…

A: The given functions are f(x)=-x2+x,g(x)=6x-4 We have to find the a) f(5)+g(5)b) f(6).g(6)c)…

Q: Which is larger, f(0) or g(0)?

A: By the above graph  g(0)=0.5  and  f(0)=2 See on the graph and easily we can find the value by…

Q: If one zero of f(x) = x3 - 3x2 – kx + 12 is -2, find two other zeros.

A: A function is a relationship between set of input values and the set of outputs. The given is a…

Q: 10) If f(x) = 3x x +4 +4 and g(x) = f(×¹4), write an expression for g(x) and find its domain and…

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