Question

2. Iwo functions t and g are definea on the set R of real numbers by f: x x² - 2x - 4. g: x → X - 1 Find the value fx for which f(x) = (x) = m - 4.​

Answer 1

We are given that:

- f(x) = x² - 2x - 4

- g(x) = x - 1We want to find fx for which f(x) = g(x) - 4, or in other words:

- f(x) = x - 1 - 4

- f(x) = x - 5

We can solve forTo find the value of x for which f(x) = g(x) - 4 (which is what I assume you meant by "f(x) = (x) = m - 4"), we can set up the following equation:

f(x) = g(x) - 4

Substituting the given expressions for f(x) and g(x), we get:

x² - 2x - 4 = x - 1 - 4

Simplifying, we have:

x² - 3x - 3 = 0

We can solve for x using the quadratic formula:

x = (-(-3) ± sqrt((-3)² - 4(1)(-3))) / (2(1))

x = (3 ± sqrt(21)) / 2

Therefore, the two values of x for which f(x) = g(x) - 4 are:

- x = (3 + sqrt(21)) / 2

- x = (3 - sqrt(21)) / 2