Composition of Functions Missed

Front

What is a function composition?

Back

Function composition is the process of applying one function to the results of another function. If you have two functions, f(x) and g(x), the composition is denoted as f(g(x)).

Front

If f(x) = 2x and g(x) = 3x + 1, what is f(g(2))?

Back

f(g(2)) = f(3(2) + 1) = f(7) = 2(7) = 14.

Front

What is the notation for function composition?

Back

The notation for function composition is f(g(x)), which means 'apply g first, then apply f to the result.'

Front

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

Back

f(g(1)) = f(1 + 3) = f(4) = 4^2 = 16.

Front

What is the output of f(g(x)) if f(x) = x + 5 and g(x) = 2x?

Back

f(g(x)) = f(2x) = 2x + 5.

Front

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

Back

f(g(3)) = f(4(3) - 3) = f(9) = 9^2 - 1 = 80.

Front

What is the value of f(g(5)) if f(x) = 3x + 10 and g(x) = x - 2?

Back

f(g(5)) = f(5 - 2) = f(3) = 3(3) + 10 = 19.

Front

If f(x) = 2x and g(x) = 2x^2 - 1, find f(g(x)).

Back

f(g(x)) = f(2x^2 - 1) = 2(2x^2 - 1) = 4x^2 - 2.

Front

What is the composition of functions?

Back

The composition of functions is the combination of two functions where the output of one function becomes the input of another.

Front

If f(x) = 3x and g(x) = 3x^2 - 2, find f(g(2)).

Back

f(g(2)) = f(3(2^2) - 2) = f(10) = 3(10) = 30.