Question

Two functions are given. F(x)=12(2)x g(x)=5(910)x What is the approximate solution to f(x) = g(x)?

Answer 1

0.01

Explanation:

Given that two functions are given.

F(x) = 12 + (2)x

g(x) = 5 + (910)x

What is the approximate solution to f(x) = g(x)?

If f(x) = g(x), then

12 + 2x = 5 + 910x

Collect the like terms

12 - 5 = 910x - 2x

7 = 908x

Make x the subject of formula

X = 7/ 908

X = 0.007709

X = 0.008

Or

X = 0.01 approximately

Therefore, the approximate solution to f(x) = g(x) is 0.01