If g of x is the inverse of f of x and f of x is equal to 4 x plus 12 , what is g of x ?
Answer
A
g of x is equal to 12 x plus 4
B
g of x is equal to 1 fourth x minus 12
C
g of x is equal to 1 fourth x minus 3
D
g of x is equal to x minus 3
Explanation
To find the inverse, write y = 4x + 12, swap x and y, and solve: x = 4y + 12, so y = (x − 12)/4 = x/4 − 3. Therefore, g(x) = 1/4 x − 3, which is choice A.
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