Understanding Composite Functions

The video tutorial explains how to determine composite functions F of G of X and G of F of X. It begins by rewriting the functions in a more manageable form and then walks through the process of substituting and simplifying each function. The tutorial provides a step-by-step guide to calculating both composite functions, highlighting key simplifications and transformations. The video concludes with a summary of the results for both F of G of X and G of F of X.

What is the purpose of rewriting composite functions in a different form?

• To eliminate the need for substitution

• To change the function's output

• To simplify the process of finding the composite function

• To make them more complex

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

What is the expression for G(x) in the given problem?

• x + 5

• 5 divided by x + 3

• 3 divided by x - 5

• x squared

Tags

CCSS.HSF-BF.A.1C

What is the simplified form of the composite function F(G(x))?

• 3x minus 5

• x plus 5

• 3 divided by x

• x divided by 3

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

What is the expression for F(x) in the given problem?

• x minus 5

• 1 divided by x + 5

• 3x plus 10

• x divided by 3

Tags

CCSS.HSF-BF.A.1C

What is the simplified form of the composite function G(F(x))?

• 3 divided by x

• 3x plus 10

• x divided by 3

• x plus 5

Tags

CCSS.HSF-BF.A.1C