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Let f(x)=3x+4 and g(x)=2x+3. If h(x)=f(g(x)), then what is the inverse of h(x)?

 Jul 21, 2022
 #1
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f(g(x))  =  3 ( 2x + 3) + 4 =  6x + 13  = h(x)

 

Write

 

y = 6x + 13      get x by itself

 

(y - 13)   /  6  = x        "swap" x and  y

 

y  = (x -13)  /  6   =   h-1(x)

 

 

cool cool cool

 Jul 21, 2022
edited by CPhill  Jul 21, 2022

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