The Nature of Functions

अब Quizwiz के साथ अपने होमवर्क और परीक्षाओं को एस करें!

If f(x)= (x-6)/x, g(x)= x+4, and h(x)= 3x-2, what is (h*f*g)(x)?

(h*f*g)(x)= (x-14)/(x+4)

If r(x)= 2-x^2 and w(x)= x-2, what is the range of (w*r)(x)?

(∞,0]

if k(x)= 5x-6, which expression is equivalent to (k+k)(4)?

5(4)-6+5(4)-6

If f(x)= 3x^2 and g(x)= 4x^3+1, what is the degree of (f*g)(x)?

6

how is the graph of y=\root(3)(x-4) transformed to produce the graph of y=-\root(3)(2x-4)

The graph is compressed horizontally by a factor of 2, moved left 4 units, and moved down 4 units.

If (f)= x^2-25 and g(x)= x-5, what is the domain of (f/g)(x)?

all real values of x except x= 5

let f(x)= |x| and g(x)= x+2. What are the domain and range of (f*g)(x)?

domain: all real numbers range: y>= 0

which statement verifies that f(x) and g(x) are inverses of each other?

f(g(x))= x and g(f(x))= x

Which function is the inverse of f(x)= -5x-4

f^1(x)= -1/5x-4/5

If the function f(x)= mx+b has an inverse function, which statement must be true?

m =/ 0

let f(x)= 4^x and g(x)= x+3. The graph (f*g) is shown below.

y>0


संबंधित स्टडी सेट्स

Treatment of Child Language Disorders Final Exam

View Set

Wills and administration of estates

View Set

Care of Patients Requiring Oxygen Therapy or Tracheostomy

View Set

Chapter 17: Cardiovascular Emergencies

View Set