Question

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

Answer 1

(fog)(4) is the same thing as: f(g(4)). This is asking us to find the value of g(4) and plug it into f(x) as x. First let's find g(4):

g(4) = 4^2 - 5 = 16 - 5 = 11

Plug x=11 into f(x):

f(11) = 4(11) + 1 = 44 + 1 = 45

The answer is 45.

Answer 2

( fog ) ( 4 ) = 45

Explanation:

Given function are f(x) = 4x + 1

and g(x) = x² - 5

We have to find the value of ( fog ) (4)

Since ( fog ) (x) = f [g(x)]

= 4 (x² - 5) + 1

= 4x² - 20 + 1

= 4x² - 19

Now ( fog ) (4) = 4(4)² - 19

= 4 × 16 - 19

= 64 - 19

= 45

( fog ) ( 4 ) = 45 is the answer.