Find (gºf)(4) when f(x)
f)(4) when f(x) = 4x - 2 and g(x)
-6x² - 86 - 8.

(g°f)(4) = -1296

Step-by-step explanation:

It is given that:

g(x) = -6x² - 86x - 8

f(x) = 4x - 2

First find the equation of (g°f)

(g°f) = g [ f (x) ]

(g°f) = g [ 4x-2 ]

Substitute 4x-2 for x in formula of g(x)

g(x) = -6x² - 86x - 8

g(4x-2) = -6(4x - 2)² -8(4x - 2) - 8

g(4x-2) = -6(16x² + 4 - 2(4x)(2)) - 32x + 16 - 8

g(4x-2) = -96x² - 24 +96x - 32x + 16 - 8

g(4x-2) =  -96x² + 64x - 16

(g°f)(x) =  -96x² + 64x - 16

Substitute x=4 into the equation:

(g°f)(4) =  -96(4)² + 64(4) - 16

(g°f)(4) = -1296

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!