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Chapter 5: Q. 80 (page 270)

The domain of one to one function g is $[0, 15]$ ,and its range is $(0, 8)$ . State the domain and range of $g^{- 1}$

Short Answer

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Most popular questions from this chapter

Begin with the graph of $y = e^{x}$ and use transformation to graph the function. Determine the domain, range and horizontal asymptote of the function.

$f (x) = e^{x + 2}$

The function $f (x) = x^{4}$ is not one-to-one. Find a suitable restriction on the domain of $f$ so that the new function that results is one-to-one. Then find the inverse of $f$ .

If $f (x) = a x + b$ and $g (x) = c x + d$ , then find: -

(a) $f \circ g$

(b) $g \circ f$

(c)the domain of $f \circ g$ and $g \circ f$

(d)the conditions for which $f \circ g = g \circ f$

If $3^{- x} = 2$ , what does $3^{2 x}$ equal ?

In Problems $33 - 40$ , the graph of an exponential function is given. Match each graph to one of the following functions.

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