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

what do you call two ratios that have the same value
find the area of a circle with a diameter of 22 inches?
solve the missing measure of a square, when P=76inFormula: P=4s
what do you call two ratios that have the same value
what is x3+3x2-x-3 factor by grouping
solve the missing measure of a square, when P=76inFormula: P=4s
is it true or false that after the american revolution conflicts in the northwest territory erupted between remaining british soldiers and native americans
solve the missing measure of a square, when P=76inFormula: P=4s
The sum of two numbers is 95, and their difference is 61. What are the two numbers?
what do you call two ratios that have the same value