#1
What is the result of composing the functions f(x) = 2x + 3 and g(x) = x^2?
2x^2 + 9
ExplanationComposition of two functions.
#2
If f(x) = x^2 - 5x + 6 and g(x) = 3x - 2, what is f(g(2))?
14
ExplanationSubstitute g(2) into f(x).
#3
If f(x) = 2x - 1 and g(x) = 3x + 2, what is (f o g)(x)?
6x + 5
ExplanationComposition of two linear functions.
#4
Given f(x) = x^2 and g(x) = √x, what is (g o f)(x)?
√x
ExplanationSquare root function composition.
#5
If f(x) = x^3 and g(x) = √x, what is (f o g)(x)?
x^(3/2)
ExplanationCube function composed with square root.
#6
Given f(x) = 3x - 1 and g(x) = 2x + 5, what is (g o f)(x)?
6x - 7
ExplanationComposition of two linear functions.
#7
If f(x) = x^2 - 4x + 4 and g(x) = √x + 1, what is f(g(x))?
x^2 + 1
ExplanationSubstitute g(x) into f(x).
#8
If f(x) = 3x + 1 and g(x) = x^2 - 2x, what is (f o g)(x)?
9x^2 - 6x + 1
ExplanationComposition of linear and quadratic functions.
#9
Given f(x) = x^2 - 4 and g(x) = √x, what is f(g(9))?
3
ExplanationSubstitute g(9) into f(x).
#10
Given f(x) = x + 1 and g(x) = x^2 - 1, what is (f o g)(x)?
x^2 - 2x + 1
ExplanationComposition of linear function with quadratic function.
#11
If f(x) = √x and g(x) = x^2, what is (f o g)(x)?
x^(3/2)
ExplanationSquare root function composed with quadratic.
#12
Given f(x) = 2x^2 - 5x + 3 and g(x) = x + 1, what is (f o g)(x)?
2x^2 - 7x + 4
ExplanationComposition of quadratic function with linear function.
#13
If f(x) = 2x + 3 and g(x) = 4x - 1, what is (f o g)(x)?
8x + 1
ExplanationComposition of two linear functions.
#14
Given f(x) = x^2 and g(x) = 1/x, what is (f o g)(x)?
x^2
ExplanationComposition of quadratic function with reciprocal function.
#15
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
ExplanationComposition of two quadratic functions.
#16
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
ExplanationSubstitute g(x) into f(x).
#17
Given f(x) = x^2 and g(x) = 2x + 1, what is (g o f)(x)?
4x^2 + 1
ExplanationComposition of quadratic function with linear function.
#18
If f(x) = x^2 + 2x and g(x) = √x, what is (g o f)(x)?
√(x^2 + 2x)
ExplanationComposition of quadratic function with square root.
#19
If f(x) = x^2 - 4x + 4 and g(x) = 3x + 2, what is (g o f)(x)?
9x^2 - 24x + 16
ExplanationComposition of quadratic function with linear function.
#20
If f(x) = x^3 and g(x) = x + 2, what is (g o f)(x)?
x^3 + 6x^2 + 12x + 8
ExplanationComposition of cubic function with linear function.
#21
If f(x) = x^2 - 3x + 2 and g(x) = 2x + 1, what is (f o g)(x)?
4x^2 + x - 1
ExplanationComposition of quadratic function with linear function.
#22
Given f(x) = 2x + 3 and g(x) = x^2 + 1, what is (g o f)(x)?
4x^2 + 12x + 10
ExplanationComposition of linear function with quadratic function.
#23
If f(x) = x^3 - 2x^2 + 3x - 1 and g(x) = x^2 - x + 1, what is (g o f)(x)?
x^6 - 5x^5 + 11x^4 - 15x^3 + 12x^2 - 7x + 3
ExplanationComposition of cubic function with quadratic function.
#24
Given f(x) = x^2 - 4x + 3 and g(x) = 2x + 1, what is (f o g)(x)?
4x^2 + 2x - 1
ExplanationComposition of quadratic function with linear function.
#25
If f(x) = x^3 + x^2 - x and g(x) = x + 1, what is (f o g)(x)?
x^3 + 3x^2 + 2x
ExplanationComposition of cubic function with linear function.