For the differentiable function on the interval [1, 3] f(1)=-2 f(2)=4 f(3)=-2 Which of the following must be true? I. There must be at least one point on the interval...

For the differentiable function on the interval [1, 3] f(1)=-2 f(2)=4 f(3)=-2 Which of the following must be true? I. There must be at least one point on the interval...

for the function f(x)=x^3-2x^2-3x, find the values where Rolle's Theorem is true.

I am not sure what x should be. I have the (-infinity, infinity) but I am not sure how to get the function.

Find all functions g : R → R such that for any real numbers x and y g(x + y) + g(x)g(y) = g(xy) + g(x) + g(y).

If the function f(t)=-5t2+20t+60 models the approximate height of an an object after it is launched then how many seconds does it take the object to hit the ground?

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...