+223 f(x)=3x-2
g(x)=10/x+2
a) express the inverse function f^-1 in the form f^-1(x)
b) find gf(x)
simplify your answer
+9479 a)
f(x) = 3x - 2 Instead of " f(x) " let's say y .
y = 3x - 2 Now let's solve this equation for x .
Add 2 to both sides.
y + 2 = 3x
Divide both sides by 3 .
(y + 2)/3 = x
So the inverse function is....
f-1(x) = (x + 2)/3
b) I guess that this means find (g o f)(x) .
(g o f)(x) = g( f(x) )
(g o f)(x) = g( 3x - 2 )
(g o f)(x) = 10/( 3x - 2 ) + 2
+9479 a)
f(x) = 3x - 2 Instead of " f(x) " let's say y .
y = 3x - 2 Now let's solve this equation for x .
Add 2 to both sides.
y + 2 = 3x
Divide both sides by 3 .
(y + 2)/3 = x
So the inverse function is....
f-1(x) = (x + 2)/3
b) I guess that this means find (g o f)(x) .
(g o f)(x) = g( f(x) )
(g o f)(x) = g( 3x - 2 )
(g o f)(x) = 10/( 3x - 2 ) + 2
