Answered

Get reliable answers to your questions at Westonci.ca, where our knowledgeable community is always ready to help. Get the answers you need quickly and accurately from a dedicated community of experts on our Q&A platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

Suppose that the functions f and g are defined for all real numbers x as follows.

f(x) = 3x+3
g(x) = 5x
Write the expressions for (f times g)(x) and (f+g)(x) and evaluate (f-g)(2)

Sagot :

fieryanswererft

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

msm555

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

Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.