Alg Reason: Combined Functions

Front

If f(x) = 2x + 1, find f(1).

Back

f(1) = 3

Front

g(n)=4n-4; f(n)=n^3+4; Find (g+f)(n).

Back

(g+f)(n) = n^3 + 4n

Front

f(x) = 3x + 10; g(x) = x - 2; Find (g - f)(x).

Back

(g - f)(x) = -2x - 12

Front

g(x) = 2x - 5; h(x) = 4x + 5; Find (g - h)(3).

Back

(g - h)(3) = -16

Front

f(x) = x^2 + 4 + 2x; g(x) = -3x + 2; Find (g•h)(1).

Back

(g•h)(1) = -7

Front

Definition of a function.

Back

A relation that assigns exactly one output for each input.

Front

What is a combined function?

Back

A function created by combining two or more functions through addition, subtraction, multiplication, or division.

Front

How to find (g + f)(x)?

Back

Add the outputs of g(x) and f(x) for the same input x.

Front

How to find (g - f)(x)?

Back

Subtract the output of f(x) from g(x) for the same input x.

Front

What is the output of f(x) = 2x + 1 when x = 2?

Back

f(2) = 5.