Functions Operations - Day 1

Front

Evaluate f(t)=-2t²+1 for f(-3)

Back

-17

Front

If f(x) = -4x - 5 and g(x) = 3 - x, what is g(-4) + f(1)?

Back

-2

Front

For the function f(x) = -3(x-1) find f(0).

Back

3

Front

Given f(x) = 3x² + 7x and g(x) = 2x² - x - 1, find (f + g)(x).

Back

5x² + 6x - 1

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input.

Front

What is function notation?

Back

Function notation is a way to denote functions using symbols like f(x), g(x), etc.

Front

What does it mean for two functions to be added?

Back

Adding two functions means combining their outputs for the same input: (f + g)(x) = f(x) + g(x).

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the input value into the function's equation.

Front

What is the difference between f(x) and g(x)?

Back

f(x) and g(x) are two different functions that may have different rules or equations.

Front

What is the process for finding the composition of two functions?

Back

To find the composition of two functions, substitute one function into the other: (f ∘ g)(x) = f(g(x)).