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

Were is the diagram?