This Question 1 pt 7 of 25 0 comple For fx5x and gx x1 find

This Question: 1 pt 7 of 25 (0 comple For f(x)-5x and g(x) x+1, find a. (f o g)(x) (Simplify your answer) b. (g of)(x)- Simplify your answer) C. (fog)(2)=L1 Enter your answer in each of the answer boxes

Solution

1)a) f(x) = 5x g(x) = x+1

fog(x) = f(g(x)) => substituting g(x) in this we get f(x+1)

since f(x) = 5x. substitute x+1 in place of x

so f(x+1) = 5(x+1) = 5x+5

b) gof(x) = g(f(x)) =>  substituting f(x) in this we get g(5x) .

since g(x) = x+1. substitute 5x in place of x

so g(5x) = (5x)+1 = 5x+1

c) fog(2) = 5(2) + 5 = 15

2)a) 2y^4(5y+1)(y-4)

2y^4(5y*y -4*5y +y -4)

2y^4(5y^2 - 20y +y -4)

2y^4(5y^2 -19y -4)

10y^6 -38y^5 -8y^4