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

Step-by-step explanation:

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

We have the composition:

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

1. g(4)

The function for g is:

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

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

Subtract 5 from 16.

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

2. f(11)

The function for f is:

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

Solve according to PEMDAS and multiply first.

Add.

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

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.

step-by-step explanation:

the multiplicative inverse of a fraction a/b is b/a. for the multiplicative inverse of a real number, divide 1 by the number. for example, the reciprocal of 5 is one fifth 1/5 or 0.2, and the reciprocal of 0.25 is 1 divided by 0.25, or 4.

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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