Purchase Solution

Composition of Two Functions 'f o g'

Not what you're looking for?

Ask Custom Question

Let f(x)=x^2-2 and g(x)=4/x.

Find (g o f)(-8).

Show all steps

Purchase this Solution
Solution Summary

The Composition of Two Functions is investigated. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.

Purchase this Solution
Free BrainMass Quizzes
Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Probability Quiz

Some questions on probability

View More Free Quizzes
Related BrainMass Solutions

  • Algebra - Composition of Functions

    14248 Algebra - Composition of Functions For the given functions f and g, find: (a)  the composition of (f o g) (4) (b) (g o f) (2)  (c)( f o f) (1)  (d) (g o g) (0) f(x) = 2x; g(x) = 3xsquared + 1 f(x)=2x, g(x)=3x^2+1 (a) Since (fog)(

  • Algebra - Composition

    14250 Algebra - Composition For the given functions f and g, find: (a) the composition of (f o g) (4)  (b) (g o f) (2)  (c)( f o f)(1)   (d) (g o g) (0) f(x) = x3/2; g(x) = 2 / x + 1  *note: x3/2 is actually

  • Composition of Functions

    41953 Composition of Values of Functions (g o f) (1) let f(x)= 2x-3, g(x)= x2 + 3. Solution. Since f(x)= 2x-3, g(x)= x^2 + 3, (g o f) (x)=(2x-3)^2+3 Hence. (g o f) (1)=(2*1-3)^2+3 =(-1)^2+3=1+3=4.

  • Real analysis

    28571 Real Analysis (Composition of continuous Functions).Given f :A->R and g:B->R, assume that the range of f(A)={f(x):x belong to A} is contained in the domain of B so that the composition g o f(x)=g(f(x)) is well-defined on A.If f is continuous at

  • Abstract Algebra : Permutations, Binary Operations and Mappings

    Prove that S(A) is closed in (M(A),o). Meaning: "o" is the composition of functions which defines a binary operation on M(A), the set of all maps from A to A.

  • Operations of Functions : Injective, Surjective and Bijective

    53725 Operations of Functions: Injective, Surjective and Bijective Let f: A ?> B and g: B ?> C be functions. a) Suppose that f and g are injective. Show that g o f is injective. b) Suppose that f and g are surjective.

  • An example using the chain rule

    This solution uses the chain rule to calculate the partial derivatives of the composition of two functions of several variables.

  • Asymptotes and functions

    2980 Horizontal Asymptotes and Functions 1. If f(x)= 1/(2x + 3), then [f (1 + h) - f(1)]/h is ? 2. If f(x)=x2 + x4 and g(x)= square root (x-1), then (f o g)(x) is? 3.

  • Functions : Onto and One-to-one, Bijections and Function Composition 'f o g'

    If f: A->B, show that a) f onto=>m2 |f is onto b)f one-to-one=>m2 f is one-to-one 2. Assuming f: A->B and g: B->C are bijections, show that (g o f)^-1 = f^-1 o g^-1 3.

View More Related Solutions