Question

If f(x) =2^x and g(x) =3x+4, at which value of x is f(x) >g(x)? 1)-1 2)4 3)2 4)5

Answer 1

4) 5

Explanation:

a) f(-1) = 2^-1 = 1/2

g(-1) = 3*-1 + 4 = 1

g(x) > f(x)

b) f(4) = 2^4 = 16

g(4) = 3*4+4 = 16

g(x) = f(x)

c) f(2) = 2^2 = 4

g(2) = 3 * 2 + 4 = 10

g(x) > f(x)

d) f(5) = 2 ^ 5 = 32

g(5) = 3 * 5 + 4 = 19

f(x) > g(x) Correct answer