Question

Question 9f(x)= x? - 10x - 24g(x) = 2x - 24Find (f/g)x

Answer 1

we have

f(x)= x^2 - 10x - 24

g(x) = 2x - 24

we know that

(f/g)x =f(x)/g(x)

so

substitute

(f/g)x =(x^2 - 10x - 24)/(2x-24)

simplify the expression

we have that

2x-24=2(x-12)

and

x^2 - 10x - 24=(x-12)(x+2)

substitute in the original expression

(f/g)x=(x-12)(x+2)/{2(x-12)}

simplify

(f/g)x=(x+2)/2

2x-24=2x-12(2)

step 1

Factor 2

2x-12(2)=2(x-12)