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CadeteMinussi
@CadeteMinussi
December 2019
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Dada a função real f(2x+1) = 4x-3, determine:
a)f(x)
b)
(x)
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albertrieben
Boa tarde
f(2x + 1) = 4x - 3
f(x) = ax + b
f(2x + 1) = a*(2x + 1) + b
f(2x + 1) = 2ax + a + b = 4x - 3
2a = 4
a = 2
2 + b = -3
b = -5
f(x) = 2x - 5
y = 2x - 5
2x = y + 5
x = (y + 5)/2
f^-1(x) = (x + 5)/2
0 votes
Thanks 1
CadeteMinussi
Irmão, só não entendi o porquê do 2 + b = -3, de onde surgiu essa expressão?
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f(2x + 1) = 4x - 3
f(x) = ax + b
f(2x + 1) = a*(2x + 1) + b
f(2x + 1) = 2ax + a + b = 4x - 3
2a = 4
a = 2
2 + b = -3
b = -5
f(x) = 2x - 5
y = 2x - 5
2x = y + 5
x = (y + 5)/2
f^-1(x) = (x + 5)/2