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Sagot :
Answer:
Step-by-step explanation:
a) fg(x)
--> f(5x)
--> 3(5x)+3
--> 15x+3
b) f+g(x)
--> 3x+3+ 5x
c) (f-g)(2)
3x+3- 5x
--> 3(2)+3-5(2)
--> -1
Answer:
solution given:
f(x) = 3x+3
g(x) = 5x
now
(f times g)(x)=?
(f+g)=?
(f-g)=?
we have
(f times g)(x)=f(g(x))
substituting value of g(x)
f(g(x))=f(5x)
now replacing value of x in f(x)
f(5x)=3(5x)+3
solving it
f(5x)=15x+3
so (f times g)(x) =15x+3
Step-by-step explanation:
again,
(f+g)(x)=f(x)+g(x)=3x+3+5x=8x+3
so
(f+g)(x) =8x+3
again
we need to find (f-g)(x) first so
(f-g)(x)=f(x)-g(x)=3x+3-5x=-2x+3
now
(f-g)(2)=-2*2+3=-1
(f-g)(2)=-1
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