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Chapter 5: Q. 76 (page 270)

If $g (- 5) = 3$ and g is one-to-one, what is $g^{- 1} (3)$ ?

Short Answer

Expert verified

If the function g is one to one function and $g (- 5) = 3$ then role="math" localid="1646171189468" $g^{- 1} (3) = - 5$

Step by step solution

01

Step 1. Given data

Function g is one to one function

and $g (- 5) = 3$

02

Step 2. inverse function value

If a function $g (x)$ is one to one function

and $g (a) = b$

then $g^{- 1} (b) = a$

as $g (- 5) = 3$

so $g^{- 1} (3) = - 5$

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Most popular questions from this chapter

Do you think that there is a power function that increases

more rapidly than an exponential function whose base is greater than 1 ? Explain.

Solve the equation $5^{x + 3} = \frac{1}{5}$

and verify your results using a graphing utility.

In Problems 61–72, the function f is one-to-one. Find its inverse and check your answer.

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

If $2^{x} = 3$ , what does $4^{- x}$ equal?

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.

$f (x) = 9 - 3 e^{- x}$

See all solutions

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