Question

For all values of x,
f(x) = x-1
and
g(x) = 2x^2 + 3
Solve fg(x) = gf(x)

Answer 1

Solutions given:

f(x) = x-1

and

g(x) = 2x^2 + 3

we have

fg(x) = gf(x)

f(2x²+3)=g(x-1)

2x²+3-1=2(x-1)²+3

2x²+2=2x²-4x+2+3

2x²-2x²+4x=5-2

4x=3

x=¾

is a right answer.