rational exponents and radical functions

Question

Use f (x)=7x-1 and g (x)=lxl to evaluate each expression

 

A. (F*g)(-5)

 

B. (G*f)(4)

Answer 1

Part A

 

(f*g)(-5) =

 

f(-5)g(-5) =

 

[7(-5) - 1] * [|-5|] =

 

(-35 - 1)(5) =

 

-36 * 5 =

 

-180

 

 

Part B

 

(g*f)(4) =

 

g(4)f(4) =

 

| 4 | [7(4) - 1)] =

 

4(28 - 1) =

 

4 * 27 =

 

108