Question

If f(x) = 2x – 1 and g(x) = ^ – 2, find [g ◦ f](x).

Answer 1

Answer:

   The value of [g ◦ f](x) = $4x^{2} -4x-1$

Step-by-step explanation:

    If f(x) = 2x - 1

    g(x)  = $x^{2} -2$

    we need to find the value of [g ◦ f](x).

    which means that g(f(x))

    g(f(x)) = $(2x-1)^{2} -2$

    g(f(x)) = $4x^{2} -4x+1 -2$

    g(f(x)) = $4x^{2} -4x-1$

    The value of [g ◦ f](x) = $4x^{2} -4x-1$