Combining Functions

​

OPERATIONS WITH FUNCTIONS

De La Salle Santiago Zobel School

​Senior High School (Vermosa Campus)

​Term 1 General Mathematics

AY 2022 - 2023​

​ Learning Targets

• I can recall the four basic operations.

• I can apply the four basic operations in solving functions.

• I can combine functions given the algebraic form of two functions.

• I can solve for the domain of combined functions.

​Begin with the end in mind...

​

​REVIEW

​OPERATIONS WITH FUNCTIONS

​How is combining functions carried out given the algebraic form of two functions?

​DOMAIN OF COMBINED FUNCTIONS

​

​Let's Try

Open Ended

Given the functions f(x) and g(x); Solve $$f\left(x\right)+g\left(x\right)$$  , then find its domain.

​Answer

Open Ended

Given the functions f(x) and g(x); Solve $$f\left(x\right)+g\left(x\right)$$  , then find its domain.

​Answer

Open Ended

Given the functions f(x) and g(x);

Solve $$\frac{f\left(x\right)}{g\left(x\right)}$$  , then find its domain.

​Answer

​REMEMBER

​To solve OPERATIONS with FUNCTIONS

and to get the DOMAIN of the COMBINED FUNCTIONS

​

​Let's Try

Open Ended

Given f(x), g(x) and h(x). Solve $$\left(f-g\right)\left(x\right)$$  and its domain.

Open Ended

Given f(x), g(x) and h(x). Solve $$\left(f+h\right)\left(x\right)$$  and its domain.

Open Ended

Given f(x), g(x) and h(x). Solve $$\left(g\cdot h\right)\left(x\right)$$  and its domain.

Open Ended

Given f(x), g(x) and h(x). Solve $$\left(\frac{h}{f}\right)\left(x\right)$$  and its domain.