Composition of Functions Quiz

Test your understanding of function composition with this quiz. Practice composing functions and evaluate the results.

Practice Learn Test

What is the result of composing the functions f(x) = 2x + 3 and g(x) = x^2?

2x^2 + 3

4x^2 + 3

2x^2 + 9

4x + 9

If f(x) = x^2 - 5x + 6 and g(x) = 3x - 2, what is f(g(2))?

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

6x + 1

6x + 5

6x - 1

6x + 2

Given f(x) = x^2 and g(x) = √x, what is (g o f)(x)?

x^2

√x

x^4

If f(x) = x^3 and g(x) = √x, what is (f o g)(x)?

x^3/2

x^(3/2)

x^6

x^(1/6)

Given f(x) = 3x - 1 and g(x) = 2x + 5, what is (g o f)(x)?

6x - 7

6x - 8

6x + 2

6x - 2

If f(x) = x^2 - 4x + 4 and g(x) = √x + 1, what is f(g(x))?

x + 1

x + 2

x^2 + 1

x^2 + 2

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

3x^2 - 6x + 1

9x^2 - 6x + 1

3x^2 - 6x

9x^2 - 6x

If f(x) = 2x + 3 and g(x) = 4x - 1, what is (f o g)(x)?

8x + 1

8x + 5

8x + 9

8x + 2

#10

Given f(x) = x^2 and g(x) = 1/x, what is (f o g)(x)?

x^2

1/x^2

#11

If f(x) = 2x^2 - 3x + 1 and g(x) = x^2 + 5, what is (g o f)(x)?

4x^4 - 12x^3 + 4x^2 + 24x + 6

4x^4 + 12x^3 - 4x^2 - 24x + 6

4x^4 + 12x^3 - 4x^2 + 24x + 6

4x^4 - 12x^3 + 4x^2 - 24x + 6

#12

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

x^(3/2) + 2√x + 1

x^3 + 2x^2 + x + 2

x^3 + 2x^2 + 2x + 1

x^(3/2) + 2√x + 2

#13

Given f(x) = x^2 and g(x) = 2x + 1, what is (g o f)(x)?

2x^2 + 1

4x^2 + 1

2x^2 + 2x + 1

4x^2 + 2x + 1

#14

If f(x) = x^2 + 2x and g(x) = √x, what is (g o f)(x)?

√(x^2 + 2x)

x + √2

x^2 + 2√x

x^2 + 2x