shahj11ya
shahj11ya
10-03-2024
Mathematics
contestada
Whats the answer to a)??
Respuesta :
roohafzah
roohafzah
10-03-2024
Answer :
g^-1(x) = (9x^2 -126x + 441)/4
Explanation :
g(x) = 2√x/3 + 7
replace g(x) with y
y = 2√x/3 + 7
swap x and y
x = 2√y/3 + 7
isolate y
x - 7 = 2√y/3 + 7 - 7
3(x - 7) = 3*2√y/3
3x - 21 = 2√y
(3x - 21)^2 = (2√y)^2
9x^2 -126x + 441 = 4y
y = (9x^2 -126x + 441)/4
g^-1(x) = (9x^2 -126x + 441)/4
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