Function Inverses Test

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Which function has an inverse that is also a function?

A. {(-4, 3), (-2, 7), (-1, 0), (4, -3), (11, -7)}

If f(x) and g(x) are inverse functions of each other, which of the following shows the graph of f(g(x))?

B.

Which statement could be used to explain why f(x) = 2x - 3 has an inverse relation that is a function?

B. f(x) is a one-to-one function.

Which function is the inverse of f(x) = 2x + 3?

B. f-1(x) = 1/2x - 3/2

Which graph shows a function whose inverse is also a function?

C.

If f(x) = 3x and g(x) = 1/3 x, which expression could be used to verify that g(x) is the inverse of f(x)?

C. 1/3(3x)

If g(x) is the inverse of f(x), what is the value of f(g(2))?

C. 2

Which function has an inverse that is a function?

C. m(x) = -7x

Which function has an inverse that is also a function?

C. {(-1, 3), (0, 4), (1, 14), (5, 6), (7, 2)}

If f(x) and its inverse function, f-1(x), are both plotted on the same coordinate plane, what is their point of intersection?

D. (3, 3)


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