Understanding Operations with Functions

A relation where each input has multiple outputs

A relation where each input has exactly one output

A relation where each output has multiple inputs

A relation where each output has exactly one input

f(x) / g(x)

f(x) * g(x)

f(x) + g(x)

f(x) - g(x)

8x + 11

6x + 11

8x + 5

6x + 5

8x^2 + 24x + 24

8x^2 + 28x + 24

8x^2 + 24x + 11

8x^2 + 28x + 11

(2x + 3) * (4x + 8)

(2x + 3) - (4x + 8)

(2x + 3) / (4x + 8)

(4x + 8) / (2x + 3)

The functions might become undefined

The denominator might be zero

The numerator might be zero

The functions might become equal

The domain remains the same

The domain includes all real numbers

The domain excludes values that make the denominator zero

The domain includes only positive numbers

All integers

All negative numbers

All positive numbers

All real numbers

All real numbers

All positive numbers

All integers

All negative numbers

x = 3 and x = -3

x = 1 and x = -1

x = 2 and x = -2

x = 0