Let fx 3x 2 and gx X2 5 Find go f x and go f2Solutionthis

Let f(x) = 3x - 2 and g(x)= X^2 - 5. Find go f (x) and go f(-2)

Solution

this is called function composition.

In mathematics, function composition is the pointwise application of one function to the result of another to produce a third function.

gof(x) = g(f(x)) = g(3x-2) = (3x-2)^2 - 5 = 9x^2 - 12x +4 - 5 = 9x^2 -12x -1

gof(-2) = 9*(-2)^2 -12*(-2) - 1 = 36+24+1 =61