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2 years ago

MARKING AS BRAINLIEST!! Starr if given functions are inverse)!

Mathematics

2 answers:

MrRissso [65]2 years ago

6 0

Ok done. Thank to me:>

Kitty [74]2 years ago

5 0

Answer: They are inverses of each other

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Explanation:

We'll need to compute h(f(x)) and f(h(x)) to see if we get x each time.

$h(x) = 9x-4\\\\h(f(x)) = 9(f(x))-4\\\\h(f(x)) = 9\left(\frac{x+4}{9}\right)-4\\\\h(f(x)) = x+4-4\\\\h(f(x)) = x\\\\$

and,

$f(x) = \frac{x+4}{9}\\\\f(h(x)) = \frac{h(x)+4}{9}\\\\f(h(x)) = \frac{9x-4+4}{9}\\\\f(h(x)) = \frac{9x}{9}\\\\f(h(x)) = x\\\\$

Both composite functions lead to x each time.

The equations h(f(x)) = x and f(h(x)) = x being true means each function is the inverse of the other.

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melisa1 [442]

First term ,a=4 , common difference =4-7=-3, n =50
sum of first 50terms= (50/2)[2×4+(50-1)(-3)]
=25×[8+49]×-3
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= -42925
derivation of the formula for the sum of n terms
Progression, S
S=a1+a2+a3+a4+...+an

S=a1+(a1+d)+(a1+2d)+(a1+3d)+...+[a1+(n−1)d] → Equation (1)

S=an+an−1+an−2+an−3+...+a1

S=an+(an−d)+(an−2d)+(an−3d)+...+[an−(n−1)d] → Equation (2)

Add Equations (1) and (2)
2S=(a1+an)+(a1+an)+(a1+an)+(a1+an)+...+(a1+an)

2S=n(a1+an)
S=n/2(a1+an)

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S=n/2{a1+[a1+(n−1)d]}
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2 years ago

Which is bigger0.9 or 19/20

Mazyrski [523]

19/20

19/20 = 0.95

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3 years ago

What is the equation of the line? <br><br> Use y = mx+b

Olegator [25]

Answer:

y = - $\frac{1}{2}$ x + 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (2, 3) and (x₂, y₂ ) = (4, 2) ← 2 points on the line

m = $\frac{2-3}{4-2}$ = - $\frac{1}{2}$

Note the line crosses the y- axis at (0, 4) ⇒ c = 4

y = - $\frac{1}{2}$ x + 4 ← equation of line

8 0

2 years ago

Read 2 more answers

Kaci bought a birthday cake like the one shown below. If a=5inches,b=5inches,c=10 inches, and d=3inches what is the volume of th

Gnom [1K]

Answer:

75+150=225 in^2

Step-by-step explanation:

Separate each layer.

Area1+Area2= Total area

A1= a*b*d

A2=a*c*d

A1=5*5*3=75 in^2

A2=5*10*3=150 in^2

75+150=225 in^2

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2 years ago

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ale4655 [162]

Answer:

6=65

Step-by-step explanation:

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2 years ago