Functions Questions and Answers

4. Let g(x) = 2x and h(x) = x² + 4 a. (hog)(2) b. (goh)(-2) c. (hoh)(x)

2. Find the inverse of the function. Show your work. Is the inverse a function? Give a reason for your answer. a. y = 3x + 1 b. y = (1 - 2x)² + 5

Let f(x) = 2x² + x - 3 and g(x) = x - 1. a. (f + g)(x) b. (f.g)(x)

Let f(x) = 2x + 5 and g(x)=x²-3x + 2 a. 3f(x) - 2 b. f(x) - 2g(x) c. 5f(x)/g(x)

Let f(x) = 2- x and g(x)=1/x a. (f - g)(x) b. g/f(x))

If f(x) = -3x+4, g(x) = 5x² - 7x-5, and h(x) = -7x²-2, find f(2)

Find the domain and range of the following relation. Also determine whether the relation is a function. {(1,3),(1,5),(1,6),(1,7)}

Find the domain and the range of the relation. Determine whether the relation is a function. {(-1,0),(2,0),(-1,6),(-8,-9)}

What is the domain of f(x) = cos(x)? O the set of real numbers -2pi≤x≤2 O the set of real numbers -1<x< 1 O the set of real numbers 0≤x≤2pi O the set of all real numbers

Given that f(x) = x² + 3x and g(x) = x +4, calculate (a) ƒ o g(x)= _________ (b) go f(x)= _______ (c) fo f(x)=__________ (d) go g(x)= _____

Evaluate the function f(x)=-3x + 9 at the indicated values. a) Find f(2). b) Find f(-5).

Find the domain of the function. f(x):(x + 4)/V(X-6)

Is the equation y = x^3 linear or not? O not linear O linear