Function Composite Inverse

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

• 2x^2 + 3

• 4x^2 + 3

• 2x^2 - 3

• x^2 + 3

Tags

CCSS.HSF-BF.A.1C

How do you find the inverse of a function?

• Square the function

• Switch the roles of x and y in the original function, then solve for y.

• Multiply the function by -1

• Divide the function by 2

Tags

CCSS.HSF-BF.B.4A

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

• 5x + 14

• 6x + 10

• 3x + 5

• 6x + 14

Tags

CCSS.HSF-BF.A.1C

What is the composition of f(x) = 4x - 2 and g(x) = x^2?

• x^2 - 4x

• 4x^2 + 2

• 4x^2 - 2

• 2x^2 - 4

Tags

CCSS.HSF-BF.A.1C

What is the inverse of the function h(x) = 5x + 7?

• h^-1(x) = (x - 7) / 5

• h^-1(x) = (x + 7) / 5

• h^-1(x) = 5 / (x - 7)

• h^-1(x) = 5x - 7

Tags

CCSS.HSF-BF.B.4A

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

• x^2 + 2

• 2x^2 - 1

• 4x^2 - 1

• 2x^2 - 3

Tags

CCSS.HSF-BF.A.1C

How can you determine if two functions are inverses of each other?

• Check if f(x) = g(x) and g(x) = f(x)

• Verify if f(g(y)) = y and g(f(y)) = y

• Check if f(g(x)) = x and g(f(x)) = x

• Ensure that f(g(x)) = g(f(x)) = x

Tags

CCSS.HSF-BF.B.4B

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

• 5x - 7

• 6x - 5

• 3x - 4

• 6x - 7

Tags

CCSS.HSF-BF.A.1C

Find the inverse of the function k(x) = 4x + 2.

• k^(-1)(x) = (x - 2) / 4

• k^(-1)(x) = (x + 2) / 4

• k^(-1)(x) = 4 / (x - 2)

• k^(-1)(x) = 4x - 2

Tags

CCSS.HSF-BF.B.4A

If h(x) = x^3 and g(x) = 2x, what is h(g(x))?

• 4x^3

• 6x^3

• 8x^3

• x^6

Tags

CCSS.HSF-BF.A.1C