2000005201
Level:
C
Which of the following functions is the inverse function to the function \(f(x)=-3x+2\)?
\( f^{-1}(x)=-\frac{x}{3}+\frac{2}{3}\)
\( f^{-1}(x)=\frac{x}{3}-\frac{2}{3}\)
\( f^{-1}(x)=2x-3\)
\( f^{-1}(x)=-\frac{x}{3}+1\)
Properties of functions
2000005202
Level:
C
From the given functions select a function \(f\) so that its inverse function \(f^{-1}\) has the graph shown in the picture.
\( f(x) = \sqrt{x+1};~x\in[ -1;\infty) \)
\( f(x) = x^2-1;~x\in (-\infty;0]\)
\( f(x) = \frac{1}{\sqrt{x-1}};~x\in[ -1;\infty) \)
\( f(x) = x^2-1;~x\in\ \mathbb{R} \)
2010014503
Level:
C
Identify which of the following points lies on the graph of the inverse of function \( f(x)=x^3-3\).
\( [24;3] \)
\( [-24;-3] \)
\( [-24;3] \)
\( [24;-3] \)
\( [3;24] \)
2010014504
Level:
C
Identify which of the following functions is the inverse of function \( f(x)=\frac13 x-2 \).
\( g(x)=3x+6 \)
\( h(x)=3x-2 \)
\( m(x)=3x-\frac12 \)
\( n(x)=-\frac13 x+2 \)
9000010608
Level:
C
Identify a function which is a possible inverse to the function graphed in the
picture.
\(y = x^{3}\),
\(x\in (-\infty ;\infty )\)
\(y = x^{-3}\),
\(x\in (-2;2)\)
\(y = x^{\frac{1}
{3} }\),
\(x\in (0;\infty )\)
\(y = -x^{\frac{1}
{3} }\),
\(x\in (-\infty ;\infty )\)
\(y = 8x\),
\(x\in (-\infty ;\infty )\)
\(y = -4x\),
\(x\in (-\infty ;\infty )\)
9000010609
Level:
C
Identify a function which is a possible inverse to the function graphed in the
picture.
\(y = x^{-1}\),
\(x\in (0;\infty )\)
\(y = x\),
\(x\in (0;\infty )\)
\(y = -x\),
\(x\in (0;\infty )\)
\(y = -x^{-1}\),
\(x\in (0;\infty )\)
\(y = x^{2}\),
\(x\in (0;\infty )\)
\(y = -x^{2}\),
\(x\in (0;\infty )\)
9000010610
Level:
C
Identify a function which is a possible inverse to the function graphed in the
picture.
\(y = x^{2}\),
\(x\in (-\infty ;0] \)
\(y = x^{-2}\),
\(x\in (-\infty ;0] \)
\(y = -x^{2}\),
\(x\in [ 0;\infty )\)
\(y = x^{\frac{1}
{2} }\),
\(x\in [ 0;\infty )\)
\(y = -x^{\frac{1}
{2} }\),
\(x\in [ 0;\infty )\)
\(y = -2x\),
\(x\in (-\infty ;0] \)