The figures below show the graphs of the exponential functions f(x) and g(x), an

Question

The figures below show the graphs of the exponential functions f(x) and g(x), and the linear function, h(x). The function f(x) has y-intercept 0.75 and goes through the point (1, 3). The function g(x) has y-intercept 2 and goes through the point (2, 2/49). The function h(x) has y-intercept 5 and goes through the point (a, a + 5). (Click on a graph to enlarge it.) Find a formula for f(x) = ___ help (formulas) Find a formula for g(x) = _____ help (formulas) Find a formula for h(x) = _____ help (formulas) Find the exact value(s) of x such that f(x) = g(x). If there is more than one solution, enter your answers as a comma separated list. x = _____ help (numbers)

Explanation / Answer

a) f(x) = 0.75e{1.38629x}

b) g(x) = 2e-kx where k = 1.94591

c) h(x) : y = x+5

f(x) = g(x)

when 0.75e{1.38629x} = 2e-1.94591 x

Or e3.3322x = 2/0.75 = 2.67

x = 0.2943

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