Question

1) find (f o g)(-6) and (g o f)(-6)
f(x)=5x-1; g(x)=x^2-3
(fog)(-6)=

Answer 1

To find (f o g)(-6), substitute -6 into g first and then substitute the result into f. To find (g o f)(-6), substitute -6 into f first and then substitute the result into g.

Step-by-step explanation:

To find (f o g)(-6), we need to substitute -6 into g first and then substitute the result into f.

Plug -6 into g(x) = x^2 - 3:

g(-6) = (-6)^2 - 3 = 36 - 3 = 33

Now substitute the result into f(x) = 5x - 1:

(f o g)(-6) = f(g(-6)) = f(33) = 5(33) - 1 = 165 - 1 = 164

To find (g o f)(-6), we need to substitute -6 into f first and then substitute the result into g.

Plug -6 into f(x) = 5x - 1:

f(-6) = 5(-6) - 1 = -30 - 1 = -31

Now substitute the result into g(x) = x^2 - 3:

(g o f)(-6) = g(f(-6)) = g(-31) = (-31)^2 - 3 = 961 - 3 = 958