Function Operations

Front

Define function operations.

Back

Function operations refer to the ways in which two or more functions can be combined to create new functions, including addition, subtraction, multiplication, and division.

Front

What is the formula for (f + g)(x)?

Back

(f + g)(x) = f(x) + g(x) - This represents the sum of two functions evaluated at x.

Front

What is the formula for (f - g)(x)?

Back

(f - g)(x) = f(x) - g(x) - This represents the difference of two functions evaluated at x.

Front

What is the formula for (f * g)(x)?

Back

(f * g)(x) = f(x) * g(x) - This represents the product of two functions evaluated at x.

Front

What is the formula for (f / g)(x)?

Back

(f / g)(x) = \frac{f(x)}{g(x)} - This represents the quotient of two functions evaluated at x, provided g(x) ≠ 0.

Front

Given f(t)= 3t+2 and g(t)= t^2-5, find (f-g)(t).

Back

(f-g)(t) = -t^2 + 3t + 7.

Front

Given f(x)= 3x+2 and g(x)= x-5, find (f * g)(x).

Back

(f * g)(x) = 3x^2 - 13x - 10.

Front

Given f(a)= 3a+7 and g(a)= 4a^2-8, find (f/g)(a).

Back

(f/g)(a) = \frac{3a+7}{4a^2-8}.

Front

Given f(x)= 2x+5 and g(x)= 3x-9, what is f(x) + g(x)?

Back

f(x) + g(x) = 5x - 4.

Front

Given f(x)= x^2+7x+3 and g(x)= x^2-6x-5, find (f+g)(x).

Back

(f+g)(x) = 2x^2 + x - 2.