Functions Practice Questions

The function $f$ is such that

$$f(x)=2x^2-5$$

The function $h$ is such that

$$h(x)=\frac{x+2}{2x-7}$$

The function $g$ is described by the function machine below.

$x$+ 5÷ 3g(x)

so that $g(x)=\dfrac{x+5}{3}$

The functions $f$ and $g$ are such that

$$f(x)=x-4 \qquad g(x)=x^2+3x$$

The functions $f$ and $g$ are such that

$$f(x)=\frac{3}{x+1} \qquad g(x)=2x-5$$

The function $f$ is such that

$$f(x)=\frac{6}{x} \qquad x\neq 0$$

The function $f$ is such that

$$f(x)=5x-2$$

The functions $f$ and $g$ are such that

$$f(x)=3x+a \qquad g(x)=x^2-4x$$

where $a$ is a constant.

Given that $f^{-1}(7)=2$,

The function $f$ is such that

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