Question

a function is defined by f(x)=3-2x.find x such that f(x to the power 2)=(f(x)) the whole square ....the answer is 1 .procedure please​

Answer 1

this is the process hope this helps u...!

Answer 2

A function is defined by f(x) = 3 - 2x

we have to find x such that, f(x²) = (f(x))². [ you forgot to write square symbol in RHS ]

place x² in place of x to find f(x²)

i.e., f(x) = 3 - 2x²

now, 3 - 2x² = (3 - 2x)²

or, 3 - 2x² = 3² + (2x)² - 2(3)(2x)

or, 3 - 2x² = 9 + 4x² - 12x

or, 4x² + 2x² - 12x + 9 - 3 = 0

or, 6x² - 12x + 6 = 0

or, x² - 2x + 1 = 0

or, (x - 1)² = 0

or, x = 1

hence, answer is x = 1