Radicals and Inverse Functions

What is the definition of a composite function?

• A function formed by the composition of two or more functions

• A function with only one input

• A function that has a linear graph

• A function that cannot be composed with other functions

If f(x) = 2x + 3 and g(x) = x^2, what is the composite function (g o f)(x)?

• x^4 + 6x^2 + 9

• 4x^2 - 12x + 9

• 4x^2 + 12x + 9

• 8x^2 + 6

What is the inverse function of f(x) = 3x - 5?

• f^-1(x) = (x + 5) / 3

• f^-1(x) = (x - 5) / 3

• f^-1(x) = 3x + 5

• f^-1(x) = x / 3 - 5

If f(g(x)) = x and g(f(x)) = x, what can be said about the functions f and g?

• They are parallel functions

• They are inverse functions.

• They are exponential functions

• They are linear functions

What is the composite function (f o g)(x) if f(x) = 2x - 1 and g(x) = 3x + 2?

• 6x + 3

• 4x - 2

• 6x + 1

• 5x + 3

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

• x

• x^2 * √x

• x^2 - √x

• x^2 + √x

What is the inverse function of h(x) = 4x + 7?

• h^-1(x) = 4 / (x - 7)

• h^-1(x) = 4x - 7

• h^-1(x) = (x + 7) / 4

• h^-1(x) = (x - 7) / 4

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

• 25

• 15

• 20

• 10

What is the solution to the radical equation √(2x - 3) = 5?

• x = 14

• x = 14/2

• x = 14/2 + 3

• x = 14/2 - 3

What is the value of x in the equation √(3x + 2) = 4?

• x = 14

• x = 14/3

• x = 14/3 + 2

• x = 14/3 - 2