Question

Dadas as funções F(X)= (8 elevado a x-1) +2
e G(X)= (4 elevado a x) - 7, determine:
a) F(-3)
b) F(0)
c) F(1)
d) F(2)
e) G(-2)
f) G(0)
g) G(1)
h) G(2)

Answer 1

Dadas as funções F(X)= (8 elevado a x-1) +2 
e G(X)= (4 elevado a x) - 7, determine:
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F(X)= (8 elevado a x-1) +2  ==> f(x) = 8^x-1 + 2
 
a) F(-3) = 8^(-3-1) + 2 ==> 8^4 + 2 ==>   4096+2 ==> 4098
b) F(0) = 8^(0-1) + 2 ==> 8^-1 + 2 ==> 1/8 +2 ==> (1+16)/2 ==> 17/2
c) F(1) = 8^(1-1) + 2 ==> 8^0 + 2 ==>  1+2 ==> 3
d) F(2) = 8^(2-1) + 2 ==> 8^1 + 2 ==>   8+2 ==> 10

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G(X)= (4 elevado a x) - 7 ==> G(X)= 4^x - 7

e) G(-2) = 4^(-2)- 7 ==> 1/16 - 7 ==> (1 - 112)/7 ==> - 111/7
f) G(0) = 4^0- 7 ==> 1 - 7 ==>  - 6
g) G(1) = 4^1- 7 ==> 4 - 7 ==> - 3
h) G(2) = 4^2- 7 ==> 16 - 7 ==> 9