Math

QuestionFind the inverse of the function value: if f(1)=7\mathrm{f}(-1)=7, then find (f(1))1(f(-1))^{-1}.

Studdy Solution

STEP 1

Assumptions1. The function f(-1) is given to be equal to7. We need to find the inverse of f(-1), denoted as (f(1))1(f(-1))^{-1}

STEP 2

The inverse of a number is simply the reciprocal of that number. So, to find (f(1))1(f(-1))^{-1}, we take the reciprocal of the value of f(-1).
(f(1))1=1f(1) (f(-1))^{-1} = \frac{1}{f(-1)}

STEP 3

Now, plug in the given value for f(-1) to calculate (f(1))1(f(-1))^{-1}.
(f(1))1=17 (f(-1))^{-1} = \frac{1}{7} So, (f(1))1=17(f(-1))^{-1} = \frac{1}{7}.

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