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Yakvenalex [24]
3 years ago
5

Find the inverse, g−1(x), of the following function: g(x) = 4x - 11

Mathematics
1 answer:
Sphinxa [80]3 years ago
7 0

Answer:

g^{-1} (x) = \frac{x+11}{4}

Step-by-step explanation:

let y = g(x) and rearrange making x the subject, that is

y = 4x - 11 ( add 11 to both sides )

y + 11 = 4x ( divide both sides by 4 )

\frac{y+11}{4} = x

Change y back into terms of x , with x = g^{-1} (x) , thus

g^{-1}(x) = \frac{x+11}{4}

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