a) Explain why the function f(x) = e#² is not injective (one-to-one) on its natural domain.

Q: Express the function F in the form to g. (Enter your answers as a comma-separated list. Use…

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Q: Use the graphs of f and g to evaluate the function (a) ( f − g)(1) (b) ( fg)(4) .

A: Explanation: Given the graph of two functions f(x) & g(x)   Concept Used:…

Q: Use the graphs of f and g to evaluate the function (a) ( f ∘ g)(2) (b) (g ∘ f)(2).

A: (a) f∘g2=fg2=f2=0 Hence the answer.

Q: Say whether the function graph below is continuous on [-1,6]. If not, where does it fail to be…

A: As per our answering guidelines we are allowed to solve only one question kindly repost others.…

Q: Let f(x) = x²-1 and g(x)= V15 – a Find the the natural domain o the function gof(x)

A: we have to find domain

Q: Use the graphs of f and g to evaluate the function (a) ( f ∘ g)(1) (b) (g ∘ f )(3).

A: To evaluate the function (a) ( f ∘ g)(1). (b) (g ∘ f )(3).

Q: Use the graphs of f and g (see attached) to evaluate the composite function : (g ∘ f)(0)

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Q: Express the function F in the form f ∘ g ∘ h. (Enter your answers as a comma-separated list. Use…

A: first we analysis to given question that how to find f, G, h then we compute F(x) function.

Q: Let n be a nonzero integer. Find a domain on which the function                       f(x) = (1 -…

A: Let f(x)=y. Then y=(1-xn)1/n. In order to write the inverse function expression write x in terms of…

Q: Find and provide a sketch of the domain of the function 2 y2 f(r, y) = 9. 4.

A: Given,  f( x,y)=1−x29−y24 To Find: Domain and sketch of the given function.

Q: 3. Show algebraically that the function f (x) x* – - 2x + 5 has even, odd or neither symmetry.

A: To find out that the function has even, odd or neither of these symmetry.

Q: Let R denote, as usual, the set of all real numbers. Consider the following two functions: f: R→ R…

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Q: Find the inverse of the function f:[0,9] → [1,5] , f(x) ={Vx + 1 if 0<x<8 (2x – 13 if 8 < x<9 %3D |

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Q: 4. Consider the function if x > 0 {2 if a < 0 g : R – R, g (x) = -2x2 Is this function bijective?…

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Q: Express the function F in the form f∘g. (Enter your answers as a comma-separated list. Use…

A: Remark: we know that (f•g)(x) = f(g(x))

Q: (c) Show that if f is entire and |2020 + if(z)| 2020 for all z, then f is a constant function.

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Q: 2) a. Find the inverse of the function, b. Show that the function f: R> R defined as f (x) = 13x –…

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Q: Given a one-to-one function f (x) such that f(3) = 6 and f(6) = 1, what is f-'(6)? Do not include…

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Q: Define H(x) as a piecewise defined function and evaluate H(1), H(2), H(3), H(0) and H(-2) given by,…

A: We know, x = -x,x&lt;0x,x≥0