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3 years ago

PLEASE HELP GIVE BRAINLIEST

Mathematics

1 answer:

VARVARA [1.3K]3 years ago

3 0

Answer:

(f ￮ g)(- 64) = - 8

Step-by-step explanation:

Evaluate g(- 64) by substituting x = - 64 into g(x), then substitute the value obtained into f(x) , that is

g(- 64) = $\sqrt[3]{-64}$ + 1 = - 4 + 1 = - 3 , then

f(- 3) = (- 3 + 1)³ = (- 2)³ = - 8

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Step-by-step explanation:

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Answer:

smaller (t) = 2 and this in coordinates form (2,0)

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Step-by-step explanation:

For the zeros of the function take each bracket and make it equal to zero.

SMALLER (t):

(t-2)=0

(add 2 for both sides)

t=2

LARGER (t):

(t-15)=0

(add 15 for both sides)

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For the vertex of the parabola you do:

step1: expand the brackets:

f(t)=-(t-2)(t-15)

f(t)= $-t^{2} +17t-30$

step2: define a,b and c using the expression $ax^{2} +bx+c$ :

a= -1 (the coefficient of $t^{2}$ )

b= 17 (the coefficient of t)

c= -30 (the single number without a letter)

step3: sub the values in the formula $-\frac{b}{2a}$ to find the x coordinate of the vertex :

$-\frac{b}{2a}$

= $- \frac{17}{2*-1}$

= $\frac{17}{2}$ or in decimals 8.5

step4: sub the value of t (the x-coordinate) in equation f(t):

f(t)= $-t^{2} +17t-30$

f ( $\frac{17}{2}$ ) = - $(\frac{17}{2} )^{2}$ + 17× $\frac{17}{2}$ - 30

= $-\frac{289}{4}$ + $\frac{289}{2}$ -30

= $\frac{169}{4}$ or in decimals 42.25

(THIS IS A PICTURE OF THE GRAPH↓)

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