Question

F (x)=4x2+x+1 and g(x)=x2-2 find g(f(x))

Answer 1

4x⁴ + x² - 1

Explanation:

When an equation is asking for something such as g(f(x)), it is simply asking that we plug in f(x) for the x of g(x). That would look something like this:

(4x² + x + 1)² - 2

Now, we just solve.

(4x² + x + 1)² - 2 Original equation
4x⁴ + x² + 1 - 2 Multiply the exponent into the parentheses
4x⁴ + x² - 1 Subtract the 2

When we plug f(x) for the x of g(x), we get 4x⁴ + x² - 1.

g(f(x)) = 4x⁴ + x² - 1