Question

please show inbetween steps

2,15, 2020 207 HW f(x) = 3x-4 f(g(x)) = W I 1-4 and g(x)= 1 1 1 2 Find flg(x)) and off) and determine whether the pair of functions fand g are inverse 3x-7_

im confused how to treat the negative sign on the four?

i think i divide out the four first since thqt is an lcd of the four in the g(x)).

Answer 1

Solution:

f(r) = 3r-4
and  
9(I) = ++

i)

༡ - ༦+ 1 -- (6+rse) = » - (+ ) t= (1)

ii)

3r- 9(f(x)) = BT (3.x - 4)+3

If f(x) and g(x) are inverse of each other, following conditions must satisfy:

a) f(g(x)) = x

b) g(f(x)) = x

But f and g are not satisfying the above conditions, hence f and g are not inverse of each other.

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