Question

find $f^{-1}(2)-3f(5)$

$x$

$f(x)$

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1

4

2

1

3

2

4

6

5

3

6

5

Explanation:

Step1: Find $f^{-1}(2)$

$f^{-1}(2)$ is the $x$-value where $f(x)=2$. From the table, when $f(x)=2$, $x=3$, so $f^{-1}(2)=3$.

Step2: Find $f(5)$

From the table, when $x=5$, $f(5)=3$.

Step3: Calculate $3f(5)$

$3f(5)=3\times3=9$

Step4: Compute the final expression

$f^{-1}(2)-3f(5)=3-9$

Answer:

$-6$