Question

if f (x)=x^2-3x+4 then find the valueof x satisfying the equation f (x)=f (2x+1).

Answer 1

hope its helpfull mark it as brainlist

Answer 2

Answer:

The equation is satisfied when x = -1

Step-by-step explanation:

The function f(x) is given to be : f(x) = x² - 3x + 4

We need to find the value of x such that the condition f(x) = f(2x + 1) is satisfied

⇒ f(x) = f(2x + 1)

⇒ x = 2x + 1

⇒ x - 2x = 1

⇒ x = -1

Now, checking :

f(-1) = 8

Also, f(2x + 1) = f (2 × -1 + 1) = f(-1) = 8

So, the equation is satisfied when x = -1