Which expression represents g(f(x)) if f(x) = 2x - 8 and g(x) = 4x

If f(x) = x² and g(x) = 3x - 1, find f(g(x))

In 2014, the cost to mail a letter was 49¢ for up to one ounce. Every additional ounce cost 21¢. Which recursive function could be used to determine the cost of a 3-ounce letter, in cents? 

Describe the transformation that occurred.

h(x) = f(x) + 2

-f(x) - 2

The height, ℎ, in feet, of an object thrown upward from a height of 144 feet is a function of time, 𝑡, in seconds. The height can be determined by the function ℎ(𝑡)=−16𝑡² + 128𝑡 + 144 . What is the height of the object at 3 seconds? 

The number of miles a car can be driven depends on the number of gallons of gas in its tank. The function m = 25g models a situation in which a car gets 25 miles per gallon. If the gas tank holds 20 gallons of gas, which inequality represents its range? 

Let 𝑓 be a function such that 𝑓(𝑥) = 2𝑥 − 4 is defined on the domain 2 ≤ 𝑥 ≤ 6. The range of this function is 

Given that 𝑦 is a function of 𝑥, which of the following tables best represents a function?  Hint: Remember that each input must have a different output.

The domain of the function 𝑓(𝑥) = −3𝑥 is restricted to the negative integers. (The domain is the x values). Which values are elements of the range? 

Sue hits a ball from a height of 4 feet. The height of the ball above the ground is a function of the horizontal distance the ball travels until it comes to rest on the ground. What is the maximum height that the ball travels?

The function 𝑓(𝑥) = 4𝑥− 𝑥² is graphed in the

𝑥𝑦-coordinate plane as shown. 

Based on the graph of the function, which statements are true? Select ALL that apply. 

The function 𝑓(𝑥) = 4𝑥− 𝑥² is graphed in the

𝑥𝑦-coordinate plane as shown. 

Based on the graph of the function, which statements are true? Select ALL that apply. 

A computer technician charges a one-time fee of $50 plus an additional $20 per hour of labor. If an equation is created to determine the technician's total charge, what does the $50 represent?  Hint: create an equation of the line.

What is the maximum height of the fire hose water?

The distance in miles, 𝑦, a bicyclist is from home after riding 𝑥 hours is represented by the equation 𝑦 = 8𝑥 + 7. What does the slope represent in this situation? 

Which is the graph of a linear function with a slope of 2 and a y-intercept at (0, 1)? 

What is the equation of the function represented by this table of values? 

Which expression represents the output of the n^th term?