Find the entire domain on which the function f is one-to-one and nor decreasing. Write the domain in interval notation. f(x) = x2 - 3 (0,00) Find the inverse of f restricted to that domain. f-1(x) = Vx + 3

Q: Find the entire domain on which the function f is one-to-one and non- decreasing. Write the domain…

A: f(x) = (x+3)2 so, f'(x)= 2(x+3)for f'(x)⩾ 0  ⇒ 2(x+3)⩾0                       ⇒ x ⩾ -3Hence,…

Q: Determine the domain of the function 2x f(x) = 1+ x Is the function f injective? If the answer is…

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Q: Define the domain of f −1 as the range of f.

A: Domain of inverse function

Q: The function f(x) = |æ| is over its entire domain. Fill in the blank with either one-to-one or not…

A: A one to one function is a function in which all the elements of the domain are mapped to a unique…

Q: Use the piecewise defined function. Find the following.  fx= 5-4× if x is less than or greater than…

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Q: What are the solutions to x2 -10x = 39? %3D O-1 and 39 -3 and 13 O1 and -39 03 and-13

A: x2-10x=39x2-10x-39=0x2-(13-3)x-39=0x2-13x+3x-39=0x(x-13)+3(x-13)=0(x-13)(x+3)=0

Q: Find (f o g)(x) for the given functions f(x) and g(x). f(x) = 5x+9 and g(x)= -6x+3 %3D

A: f(x)=5x+9, g(x)=-6x+3

Q: Evaluate f(-5), (0), and f(3) for the piecewise defined function. - 4 if x < 0 f(x) : if x 2 0 f(-5)…

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Q: Xe is a power function true or false

A: A power function is in the form of f(x) = kx^n, where k = all real numbers and n = all real numbers.

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.