Step-by-step explanation:
f(x) = 2.5x - 10.5 and g(x) = 64(0.5)^x
When x = 2,
- f(x) = 2.5(2) - 10.5 = -5.5,
- g(x) = 64 * 0.5^(2) = 16.
When x = 3,
- f(x) = 2.5(3) - 10.5 = -3,
- g(x) = 64 * 0.5^(3) = 8.
When x = 4,
- f(x) = 2.5(4) - 10.5 = -0.5,
- g(x) = 64 * 0.5^(4) = 4.
When x = 5,
- f(x) = 2.5(5) - 10.5 = 2,
- g(x) = 64 * 0.5^(5) = 2.
When x = 6,
- f(x) = 2.5(6) - 10.5 = 4.5,
- g(x) = 64 * 0.5^(6) = 1.
Therefore we can see that f(x) = g(x) = 2 when x = 5.
Hence the solution is x = 5.
