Evaluate the indicated function for f (x) = x^2-7 and g (x) = x-2

f (g (x)) = (x-2) ^2 - 7

(x-2) (x-2) - 7

x^2-2x-2x+4-7

x^2-4x-3

g (f (x)) = x^2-2-7

x^2-9

(x+3) (x-3)

Step-by-step explanation:

to solve for f (x), replace x with the g (x). since we don't multiply a bracket with the negative or the positive signs to the exponent, you have to factor into two binomials. use the FOIL method to eliminate the brackets. add like-terms

to find g (x), replace x with the f (x). add like-terms since there's difference of square, factor them into two binomials