erickanj10 erickanj10
  • 12-03-2022
  • Mathematics
contestada

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

Respuesta :

semsee45
semsee45 semsee45
  • 12-03-2022

Answer:

A) x = -1

Step-by-step explanation:

[tex]f(-1)=3^{-1}=\dfrac13\\\\g(-1)=2(-1)+5=3\\\\\implies f(x) < g(x)[/tex]

[tex]f(2)=3^{2}=9\\\\g(2)=2(2)+5=9\\\\\implies f(x)=g(x)[/tex]

[tex]f(-3)=3^{-3}=\dfrac{1}{27}\\\\g(-3)=2(-3)+5=-1\\\\\implies f(x) > g(x)[/tex]

[tex]f(-4)=3^{-4}=\dfrac{1}{81}\\\\g(-4)=2(-4)+5=-3\\\\\implies f(x) > g(x)[/tex]

Answer Link

Otras preguntas

As more and more women entered the paid work force, their work outside the home was
evaluate u+xy for u=13 x=10 and y=5
The patient states, " I already have a living will. Do I still need a medical durable power of attorney?" How should the medical assistant respond?
You know how to say no to risky behaviors like tobacco and alcohol use. What type of health skills are described in this statement?
What is the common greenhouse gas containing only hydrogen and oxygen?
How did the farmers alliances begin a crusade against big businesses?
What governments allow the use of the initiative, the referendum, and the recall?
At each mile marker for the first five miles of a marathon, Ellie was 18 seconds, 9 seconds, 14 seconds, 6 seconds, and 3 seconds ahead of her goal pace. What w
Many automobiles have an ammeter. If the headlights which draw a current of 8amps, and the radio, which draws a current of 4 amps, are both turned on?
in 2010 the us had a population of 285 million what was the rank