f(x)=2^x g(x)=x^2+3x-3 For what positive integer values of x is f(x)>g(x)? A) x<6 and x>1 B) x<2 and x>5 C) x<5 and x>2 D) x<1 and x>6

Yaretzi Mcconnell

Yaretzi Mcconnell

Answered question

2022-11-05

f ( x ) = 2 x
g ( x ) = x 2 + 3 x 3
For what positive integer values of x is f(x)>g(x)?
A) x<6 and x>1
B) x<2 and x>5
C) x<5 and x>2
D) x<1 and x>6

Answer & Explanation

boursecasa2je

boursecasa2je

Beginner2022-11-06Added 15 answers

f ( x ) = 2 x
g ( x ) = x 2 + 3 x 3
So, what value f(x)>g(x)
if we take x=5
then f ( s ) = 32
g ( s ) = 35             g ( s ) > f ( s )
and when we take x=4
f ( 4 ) = 2 4 = 16 g ( 4 ) = 16 + 12 3 = 25 g ( 4 ) > f ( 4 )
if we take
x = 3 2 f ( 3 2 ) = 2 2 = 2.828 g ( 3 2 ) = 9 4 + 9 2 3 = 27 4 3 = 15 4 = 3.7 g ( 3 2 ) > f ( 3 2 )
So, option A,B and C are incorrect
(D)is true
f(x)>g(x)
for x<1 and x>6

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