Function Operations Warmup

Front

Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7?

Back

7^6

Front

When f(x) = 9 - 3x and g(x) = 5x - 7, find f(x) + g(x).

Back

2x + 2

Front

When f(x) = x^2 + 9 and g(x) = x - 9, find f(x) - g(x).

Back

x^2 - x + 18

Front

If f(x)=2x + 4 and g(x)=3x^2 - 1, find f(x) ⋅ g(x).

Back

6x^3 + 12x^2 - 2x - 4

Front

Find g(5) if g(x) = 5x - 7.

Back

375

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 the sum of two functions f(x) and g(x)?

Back

f(x) + g(x) is the function obtained by adding the outputs of f and g for each input.

Front

What is the difference of two functions f(x) and g(x)?

Back

f(x) - g(x) is the function obtained by subtracting the output of g from the output of f for each input.

Front

What is the product of two functions f(x) and g(x)?

Back

f(x) ⋅ g(x) is the function obtained by multiplying the outputs of f and g for each input.

Front

What does f(g(x)) represent?

Back

f(g(x)) is the composition of functions, where the output of g(x) is used as the input for f.