If f(x) = 3^x and g(x) = 2x + 5, at which value of x is f(x) < g(x)? A. -1 B. 2 C. -3 D. -4

asked Apr 8, 2023 34.3k views

5 votes

If f(x) = 3^x and g(x) = 2x + 5, at which value of x is f(x) < g(x)?

A. -1
B. 2
C. -3
D. -4

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10 votes

Answer:

A) x = -1

Explanation:

$f(-1)=3^(-1)=\frac13\\\\g(-1)=2(-1)+5=3\\\\\implies f(x) < g(x)$

$f(2)=3^(2)=9\\\\g(2)=2(2)+5=9\\\\\implies f(x)=g(x)$

$f(-3)=3^(-3)=(1)/(27)\\\\g(-3)=2(-3)+5=-1\\\\\implies f(x) > g(x)$

$f(-4)=3^(-4)=(1)/(81)\\\\g(-4)=2(-4)+5=-3\\\\\implies f(x) > g(x)$

Emre AYDIN answered Apr 14, 2023

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