Addition and Subtraction of Functions

What is the result of f(n) - g(n) if f(n) = n^2 + 1 and g(n) = 2n - 5?

• n^2 - 2n + 6

• n^2 + 2n - 4

• n^2 - 3n + 5

• n^2 + 3n - 6

What is the value of (f - g)(x) if f(x) = 5x^2 + 3x and g(x) = 8x?

• 5x^2 - 5x

• 5x^2 + 5x

• 3x^2 - 8x

• 5x^2 - 3x

What is the result of (f + g)(2) if f(x) = 4x and g(x) = 2x^2?

• 12

• 14

• 16

• 18

What does (f + g)(x) represent in function operations?

• The product of functions f and g for any input x.

• The difference between functions f and g for any input x.

• The combined output of functions f and g for any input x.

• The inverse of function f for any input x.

Define the term 'function' in mathematics.

• A function is a relation that assigns exactly one output for each input from a set of inputs.

• A function is a mathematical operation that combines two or more numbers.

• A function is a graph that represents a set of data points.

• A function is a type of equation that has no variables.

If g(x) = x^2 - 36x and m(x) = x + 2, what is (m - g)(x)?

• -x^2 + 37x + 2

• x^2 - 34x + 2

• -x^2 + 34x + 2

• x^2 + 36x + 2

Calculate (f - g)(x) if f(x) = 3x^2 and g(x) = x + 1.

• (f - g)(x) = 3x^2 - x - 1

• (f - g)(x) = 3x^2 + x + 1

• (f - g)(x) = 2x^2 - x - 1

• (f - g)(x) = 3x^2 - x + 1

If f(x) = 2x + 3 and g(x) = x^2, what is (f + g)(x)?

• (f + g)(x) = x^2 + 2x + 3

• (f + g)(x) = x^2 + 3

• (f + g)(x) = 2x^2 + 3

• (f + g)(x) = 2x + 6

What is the formula for subtracting two functions?

• (f - g)(x) = f(x) - g(x)

• (f + g)(x) = f(x) + g(x)

• (f * g)(x) = f(x) * g(x)

• (f / g)(x) = f(x) / g(x)

Define the addition of functions.

• The addition of functions is the operation where two functions, f(x) and g(x), are combined to form a new function (f + g)(x) = f(x) + g(x).

• The addition of functions involves multiplying two functions together to create a new function.

• The addition of functions is the process of finding the maximum value of two functions.

• The addition of functions refers to the integration of two functions over a specified interval.