Properties of functions

2000005201

Level:

Which of the following functions is the inverse function to the function

f (x) = - 3 x + 2

f^{- 1} (x) = - \frac{x}{3} + \frac{2}{3}

f^{- 1} (x) = \frac{x}{3} - \frac{2}{3}

f^{- 1} (x) = 2 x - 3

f^{- 1} (x) = - \frac{x}{3} + 1

Level:

From the given functions select a function

f

so that its inverse function

f^{- 1}

has the graph shown in the picture.

f (x) = \sqrt{x + 1}; x \in [- 1; \infty)

f (x) = x^{2} - 1; x \in (- \infty; 0]

f (x) = \frac{1}{\sqrt{x - 1}}; x \in [- 1; \infty)

f (x) = x^{2} - 1; x \in R

Level:

Identify which of the following points lies on the graph of the inverse of function

f (x) = x^{3} - 3

[24; 3]

[- 24; - 3]

[- 24; 3]

[24; - 3]

[3; 24]

Level:

Identify which of the following functions is the inverse of function

f (x) = \frac{1}{3} x - 2

g (x) = 3 x + 6

h (x) = 3 x - 2

m (x) = 3 x - \frac{1}{2}

n (x) = - \frac{1}{3} x + 2

Level:

Identify a function which is a possible inverse to the function graphed in the picture.

y = x^{3}

x \in (- \infty; \infty)

y = x^{- 3}

x \in (- 2; 2)

y = x^{\frac{1}{3}}

x \in (0; \infty)

y = - x^{\frac{1}{3}}

x \in (- \infty; \infty)

y = 8 x

x \in (- \infty; \infty)

y = - 4 x

x \in (- \infty; \infty)

Level:

Identify a function which is a possible inverse to the function graphed in the picture.

y = x^{- 1}

x \in (0; \infty)

y = x

x \in (0; \infty)

y = - x

x \in (0; \infty)

y = - x^{- 1}

x \in (0; \infty)

y = x^{2}

x \in (0; \infty)

y = - x^{2}

x \in (0; \infty)

Level:

Identify a function which is a possible inverse to the function graphed in the picture.

y = x^{2}

x \in (- \infty; 0]

y = x^{- 2}

x \in (- \infty; 0]

y = - x^{2}

x \in [0; \infty)

y = x^{\frac{1}{2}}

x \in [0; \infty)

y = - x^{\frac{1}{2}}

x \in [0; \infty)

y = - 2 x

x \in (- \infty; 0]