Why ((x-1)^2)^(1/3)+((x+1)^2)^(1/3) is an even function?

Why ((x-1)^2)^(1/3)+((x+1)^2)^(1/3) is an even function?

given the function P(x)=45+3x-2x2 find and simplify 3P(a+6)-17. Discuss how each value shifts/scales the function

1. Let f(x)=5x and g(x)=x^2+1, when the domain of x is all real numbers. a. Find f^-1(x). b. Find (f ° g)(7).

Given g(x)=3x^2−2x+19, find g(t-1). I am pretty sure the g (t-1) would go in the x's spot, but i am having trouble getting the amswer.

find the inverse of the function y=6x2 which has an inverse of y-1

find the inverse of the function y=8x2 which has an inverse of y-1

A worker gets 18 dollars per hour for a normal work week of 40 hours and time-and-a-half for overtime. Assuming he works at least 40 hours a week, construct a function describing his weekly paycheck,...

1. The function f(x) and g(x) are defined by f(x)=2^x and g(x)= log2(1-2x) a. Write down f^-1(x). b. (i). Find and simplify (f°g)(x) (ii) Find and simplify (f°g)^-1(x) c. (i) Write...

A question from trigonometry and functions... If "k tanx + tan(kx) = 0", prove: ((sin kx)^2)/(sinx)^2 = (k^2)÷((1+(k^2-1)(sinx)^2))

f(x) = x + 4 g(x) = x - 3 for which value of x is (f⁄g)(x) undefined?

A company has found that the demand for its product varies inversely as the price of the product. When the price x is 4.25 dollars, the demand y is 550 units. Find a mathematical model that gives...

Example:p(t_ = 2t - 1 and q(t) = -t2 - 4t - 1. Find (q - p)(t) (q - p)(t) = q(t) - p(t) q(t) - p(t) "define" (-t2 - 4t - 1) - (2t - 1) "substitute" =(-t2...

What is the zeros of The reciprocal of arctanh (x) ? In other words. Does the reciprocal V.asymptotes become zero or not ?

g(n) = 3n + 2 f(n) = 2n2 + 5 find g(f(2))

suppose that functions r and s are defined for all real numbers x as follows. r(x)=3x-6 s(x)=6x write the expressions for (r - s)(x)=____ (r + s)(x)=____ (r...

James mason is concerned with the effect of fatigue on the productivity of skilled machinists.He has observed that productivity which he defines as standa units of output per man hour, increases up...

combination of functions

A landscape supply company charges $30 to deliver mulch. The mulch costs $23 per cubic yard. Write an equation that gives the total cost of having mulch delivered as a function of the number of cubic...

This is a fucntion question

a.) Find the inverse of f(x) and name it g(x). Show and explain your work. b.) Use composition to show that f(x) and g(x) are inverses of each other

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