Question

f(x) = 2x² + 5x -9; f(5x - 2)
Answer:​

Answer 1

Answer:

The range is y∈(−∞,0)∪(0,+∞)

Explanation:

The function is

f(x)=2x+12x2+5x+2

Factorise the denominator

2x2+5x+2=(x+2)(2x+1)

Therefore,

f(x)=2x+1(x+2)2x+1=1x+2

Let y=1+2⇒ ,y(x+2)=1yx+2y=1yx=1−2yx=-12yy

The denominator must be

≠0y≠0

The range is ly∈(−∞,0)∪(0+∞)graph{(2x+1)/(2x^2+5x+2) [-14.24, 14.24, -7.12, 7.12]}