Suppose that the functions g and h are defined for all real numbers x as follows. g (x) =x h (x) = 3x³ Write the expressions for (h-g)(x) and (h+g)(x) and evaluate (h g)(2). (h – 8)(*) = [] (h + 8)(x) = [] (h•g)(2) = 0 %3D

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: (x+1)/(x-1) + 2 > 0

A: We need to find the interval of x for which the given inequality holds good.

Q: let f(x)= x2-3x-54/x2-1 and g(x)= x2+5x-6/x2+2x+1 find and simplify (f/g)(x)= ?

A: We can solve this as follows:

Q: Given the functions f (x) = 3x + 5 = (x) 6 g (x) = 4 – x2 and h (x) = = 1 *, find each of the -…

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Q: g(x) = 15 - 4x 3 h(x) = 57+8 Write g(h(x)) as an expression in terms of x. g(h(z)) =|

A: The given function is g(x)=15-4x h(x)=32x+8 g(h(x))=15-4(h(x))           =15-4(32x+8)=15-6x-32…

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: (a) ( (b)( (c) ( (d) ( ) satisfies g(x). ) satisfies g(x). ) satisfies g(-3x). ) satisfies -g(3x).

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