F(x)= ax + b, f(f(f(x)))= 8x + 21 find the value of a + b=?
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Answered by
26
a(a(ax + b) + b) + b = 8x + 21
a((a^2)x + ab) + b) + b = 8x + 21
(a^3)x + (a^2)b + ab + b = 8x + 21
a^3x = 8x
a = 2
(a^2)b + ab + b = 21
4b + 2b + b = 21
7b = 21
b = 3
a((a^2)x + ab) + b) + b = 8x + 21
(a^3)x + (a^2)b + ab + b = 8x + 21
a^3x = 8x
a = 2
(a^2)b + ab + b = 21
4b + 2b + b = 21
7b = 21
b = 3
Answered by
5
After solving we get
a=2 And b=3
Now value of a+b=2+3
=5
HOPE IT'S HELPFUL
a=2 And b=3
Now value of a+b=2+3
=5
HOPE IT'S HELPFUL
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