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NARA [144]
3 years ago
10

"absmiddle" class="latex-formula">and
{g}^{ - 1}(x) =  \frac{x + 6}{3}. With g(x) and
{g}^{ - 1}(x), find
{g}^{ - 1}(g(10)). Make sure to show your work.​
Mathematics
1 answer:
VARVARA [1.3K]3 years ago
3 0

Hey there! :)

Answer:

g^{-1} (g(10))=10

Step-by-step explanation:

Begin by calculating g(10):

g(x) = 3x - 6

Substitute in 10 for x:

g(10) = 3(10) - 6

g(10) = 30-6

g(10) = 24.

Plug '24' into 'x' into g^{-1} (x)

g^{-1} (24)=\frac{(24) + 6}{3}

Simplify:

g^{-1} (24)=\frac{30}{3}

g^{-1} (24)=10

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