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: 2 5 Let f (x) and g(x) = x+2° X-3

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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."…

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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".

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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…