If f(x) = 2x^2 - 4 and g(x) = 2x, for wh...

If `f(x) = 2x^2 - 4 and g(x) = 2x`, for what values of x will `f(x) = g(x)`?

Verified by Experts

The correct Answer is:

`x={-1, 2}`

Similar Questions

Explore conceptually related problems

The function f and g are defined as f(x) = 2x - 3 and g(x) = x + 3//2 . For what value of y is f(y) = g(y- 3) ?

If f(x)=2x^(2)-4 and g(x)=2^(x) , the value of g(f(1)) is

If f(x)= sqrt(2x+3) and g(x)= x^2 , for what value (s) of x does f(g(x))=g(f(x))?

If f(x+2)=3x+11 and g(f(x))=2x, find the value of g(5).

If f(x) = x^(2) + x + 5 and g(x) = sqrt(x) , then what is the value of (g(4))/(f(1)) ?

Given functions f(x) = 2x + 1 and g(x) = x^(2) - 4 , what is the value of f(g(-3)) ?

Let f and g real functions defined by f(x) =2x +1 and g (x) = 4x-7 . (i) For what real number x,f(x)=g(x)? (ii) for what real number x,f(x) < g(x) ?

Let f(x)=sqrt(x^(2)-4x) and g(x) = 3x . The sum of all values for which f(x) = g(x) is

Given that f(x) = 3x + 7 and g(x) = (x^2)/(2) , what is the value of f(g(4)) ?

If f(x) = x^(2) and g(x) = (1)/(x^(3)) . Then the value of (f(x)+g(x))/(f(-x)-g(-x)) at x = 2 is