Let f(x) = x3 - 4 for all real numbers x. The for all x # 0 define a new function g by g(x (2x)1 (f(1 + x) - f(1 - x). Then g(x) can be written in the form ax2 + bx + c where a

Q: Suppose that the functions g and h are defined for all real numbers x as follows. g(x) = 3x+4…

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Q: Find the domain of each function

A: we have to find the domain of the given function. G(x)=x+4x3-4x

Q: 2 5 Let f (x) and g(x) = x+2° X-3

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Q: x+3 x+1 f (x) = x+4 x+1

A: Topic = funtions

Q: Suppose the rule of the function f is "add one" and the rule of the function g is "multiply by 8."…

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Q: Suppose the rule of the function f is "add one" and the rule of the function g is "multiply by 8."…

A: Given that the rule of function f is "add one" and rule of function g is "multiply by 8".

Q: find the domain of f(x) x-12 / x(x2-16)

A: Numerator is a polynomial which is well defined for all real numbers. To find the domain we need to…

Q: Let x + 1 f(x) x + 6 ƒ−¹( − 2) = - =

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Q: f(x) = x+1 x-3

A: Given:  fx=x+1x-3To prove: f(x) is 1-1 we know that, If f(x1) = f(x2) then x1 = x2 therefore f(x) is…

Q: Show that the function f(x) = 9 x8-5x³-3 is even, odd, or neither. f(-x) = f(x) is neither even nor…

A: Given: The given function is fx=9x8-5x3-3. To Prove: We have to show whether the given function is…