Question

dado que , para todo X real, f(2x-1)=x*2 , obtenha :
a)f(5)
b) f(3)
c) f (t)
d) f(x)

Answer 1

a)
2x-1 = 5
2x = 5 + 1
x = 6 / 2
x = 3

f(5) = 3 * 2 = 6

b)
2x-1 = 3
2x = 3 + 4
x = 7 / 2

f(3) = 7/2 * 2 = 14/2 = 7

c)
2x-1 = t

(2x - 1)*2

4x - 2 = 0
4x = 2
x = 2 / 4 = 1/2 = 0,5
f(t) = 0,5

d) 
2x - 1 = x
2x - x - 1 = 0
x - 1 = 0
x = 1

1 * 2 = 2

f(x) = 2