F (x) =

/,/,3x^2-6x+5

3x

2

-6x+5

g (x) =

g (x) =

/,/,-4x-13

-4x-13

/text{Find: }f/circ g (x)

Find: f∘g (x)

The function in the form of fog (x) is written as 48 x² + 336 x + 590

Step-by-step explanation:

Given function as:

f (x) = 3 x² - 6 x + 5

g (x) = - 4 x - 13

So, The function in the form of fog (x) is written as

We, substitute the value of g (x) into f (x)

∴ fog (x) = 3 (g (x)) ² - 6 (g (x)) + 5

Or, fog (x) = 3 ( - 4 x - 13) ² - 6 ( - 4 x - 13) + 5

or, fog (x) = 3 (16 x² + 169 + 104 x) + 24 x + 78 + 5

or, fog (x) = 48 x² + 507 + 312 x + 24 x + 78 + 5

or, fog (x) = 48 x² + 336 x + 590

So, The function in the form of fog (x) = 48 x² + 336 x + 590

Hence The function in the form of fog (x) is written as 48 x² + 336 x + 590 Answer