Function Operations Test 5

Front

f(x)=x^2+1, g(x)=2x-5. Find f(x)-g(x)

Back

x^2-2x+6

Front

f(n)=n^2+4n, g(n)=-n-5. Find f(n)+g(n)

Back

n^2+3n-5

Front

What are all of the x values or inputs called?

Back

Domain

Front

g(x)=3x+4, h(x)=3x-1. Find g(h(x))

Back

9x+1

Front

f(x)=2x+4, g(x)=3x^2-1. Find f(x)*g(x)

Back

6x^3+12x^2-2x-4

Front

What is the definition of a function?

Back

A relation where each input has exactly one output.

Front

What is the range of a function?

Back

The set of all possible output values.

Front

What does it mean to compose functions?

Back

To apply one function to the results of another function.

Front

If f(x)=x^2 and g(x)=x+1, what is (f∘g)(x)?

Back

(x+1)^2

Front

What is the difference between domain and range?

Back

Domain is the set of inputs, while range is the set of outputs.