Find the average rate of change of f(x)=3/x+1 on the interval [x,x+h]. Simplify your answer.

Find the average rate of change of f(x)=3/x+1 on the interval [x,x+h]. Simplify your answer.

What is the x-intercept for the function -12x - y + 7z = 96? Type your answer as a point, (x,y,z), Please help I keep getting fractions for the points! Thank you in advance.

Let f(x)=x^2 -1 and g(x)= x^2 - 2, for x has the domain of all real numbers a. Show that (f ° g)(x)=x^4 - 4x^2 + 3. Do we plug g(x) into f(x) ? how do we show that?? b. How...

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

I believe this question is very simple, I just would like to know why in this specific example (2x3+2x2-19x+20=0) once I am done plugging in the trinomial into the quadratic formula and get...

3. A quadratic function f can be written in the form f(x) = a(x - p)(x - 3). The graph of f has axis of symmetry x=2.5 and y-intercept at (0,-6) a. Find the value of p. For this I...

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).

u(x)=x-2 w(x)=2x^2 Find the following (u*w)(4) (w*u)(4) The * represents composition

Solve the equation g(t)=1 given that g(t)=6t. t=?

7. Let f(x)=x^2 -1 and g(x)= x^2 - 2, for x has the domain of all real numbers a. Show that (f ° g)(x)=x^4 - 4x^2 + 3. b. How could I sketch the graph of (f ° g)(x), for 0 is <...

Define two functions c(x) = max{x - a,0}, p(x) = max{a-x,0}. Prove that c(x) - p(x) = x - a

A student gets paid to deliver newspaper after school. She earns $25 a day, plus an extra $0.75 for each newspaper she delivers and $5 for each new customer she signs up for delivery. If d=days, n=newspaper,...

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,...

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

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

Basically what the question asks.

options given g(x) = √(x2-1) g(x) = √(1-x2) g(x) = (π/2) +x g(x) = (π/2) - x g(x) = tanx I tried doing it but cos^-1(sinx) isn't possible to do with what i know

While standing at the left corner of the schoolyard in front of her school, Suzie estimates that the face is 8.9 wide and 4.7 high. From her position, Suzie is 12m from the base of the right exterior...

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

2. Solve the following equations, giving exact values if possible. a. 9^x-1 = (1/3)^2x b. ln(x+2)=3 c. log27(x)=1-log27(x-0.4) d. logb6=1/2