Answered

Westonci.ca is the ultimate Q&A platform, offering detailed and reliable answers from a knowledgeable community. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

For f(x) = 4x + 1 and g(x) = x ^ 2 - 5 , find (f o g)(4)

Sagot :

ChoiSungHyun

Step-by-step explanation:

(f o g)(x)

= f(x² - 5)

= 4(x² - 5) + 1

= 4x² - 19.

Therefore (f o g)(4) = 4(4)² - 19 = 64 - 19 = 45.

Sarah06109

Answer:

[tex]\boxed {\boxed {\sf 45}}[/tex]

Step-by-step explanation:

When solving a composition of function composition, work from the inside to the outside.

We have the composition:

  • (f o g)(4)

We must start on the inside, and find g(4) first.

1. g(4)

The function for g is:

[tex]g(x)=x^2-5[/tex]

Since we want to find g(4), we have to substitute 4 in for x.

[tex]g(4)=(4)^2-5[/tex]

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Addition, and Subtraction. First we should solve the exponent.

  • (4)²= 4*4= 16

[tex]g(4)=16-5[/tex]

Subtract 5 from 16.

[tex]g(4)= 11[/tex]

Now, since g(4) equals 11, we have:

  • (f o g)(4)= f(11)

2. f(11)

The function for f is:

[tex]f(x)= 4x+1[/tex]

We want to find f(11), so substitute 11 in for x.

[tex]f(11)= 4(11)+1[/tex]

Solve according to PEMDAS and multiply first.

[tex]f(11)= 44+1[/tex]

Add.

[tex]f(11)= 45[/tex]

(f o g)(4) is equal to 45.

Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.