The graph of f(x)=−2(0.35)x. What is the equation for g(x)? g(x)=

Question

The graph of f(x)=−2(0.35)x. What is the equation for g(x)? g(x)=

Answer 1

f(x) = -2(0.35)x = -.7x = -7x/10

if g(x) = the inverse function then

switch x and y, solve for the new y = f^-1(x)

x = -.7y

y = -x/.7 = -x/7/10 = -10x/7 = f^-1(x)

g(x) = -10x/7

then f(g(x)) = x = g(f(x))