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3 years ago

Given the functions below, find (g * h)(1). g(x) = x^2 + 4 + 2x. h(x) = -3x + 2

Mathematics

1 answer:

pshichka [43]3 years ago

7 0

Answer:

Step-by-step explanation:

g(x) = x² + 2x+4

h(x) = -3x+2

(g*h)(1) is the same as

g(h(1)) , next solve for h(1) first by substituting in h(x), x with 1

g( h( x= 1)) = g( -3*1 +2) = g( -1) so substitute in g(x) , x with -1

g(x= -1) = (-1)² +2(-1) +4 =1-2+4 =3

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PLS HELP !! WILL GIVE YOU BRAINLIEST

daser333 [38]

Answer:

I think it is the second one

Step-by-step explanation:

4 0

3 years ago

Find the inverse of the following function. f(x) =^3squareroot x + 12<br><br> I NEED AN ANSWER NOWW

makkiz [27]

Answer:

(x - 12)²/9

Step-by-step explanation:

y = 3sqr(x) + 12

Make x the subject:

y - 12 = 3sqrt(x)

(y - 12)/3 = sqrt(x)

Square both sides

(y - 12)²/9 = x

Interswitch variables

inverse function is:

(x - 12)²/9

If f(x) = (x + 12)^⅓

Then,

y = (x + 12)⅓

y³ = x + 12

y³ - 12 = x

f inverse:

x³ - 12

3 0

3 years ago

Read 2 more answers

In what time the compound amount of Rs 60000 at 10% rate is rs 79860?

Ksenya-84 [330]

Answer:

P= Rs 60000

A= Rs 79860

T=1 & 1/2 year = 3/2 years

= 3/2 x 2 = 3 half years

R= ?

Applying the formula A= P (1+r/100)^T

79860 = 60000 (1+ r/100)^3

79860/60000 = (1+r/100)^3

1331/1000 = (1+r/100)^3

root(3)(1331/1000) = (1+r/100)

11/10 = 1+r/100

11/10 -1 = r/100

1/10 = r/100

r= 10 %

Step-by-step explanation:

8 0

3 years ago

Please please thank you

nika2105 [10]

Answer:

option 2

452.16

6 0

3 years ago

Read 2 more answers

Point T(-9,5) lies on the perpendicular bisector of UV. If the

Flura [38]

The coordinate of point V is at (-16, 9)

If Point T(-9,5) lies on the perpendicular bisector of UV, this means that the point divides the line UV into two equal parts

Given the following coordinates

Midpoint T = (-9, 5)

U = (-2, 1)

Required

coordinate of point V

Using the midpoint formulas;

$T(x, y) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}) \\T(-9, 5) = (\frac{-2+x_2}{2}, \frac{1+y_2}{2})$

Get the value if x₂ and y₂

$-9 = \frac{-2+x_2}{2}\\-18 = -2+x_2\\x_2 = -18+2\\x_2 = -16\\$

Similarly;

$5 = \frac{1+y_2}{2}\\10 = 1+y_2\\y_2 = 10-1\\y_2 = 9\\$

Hence the coordinate of point V is at (-16, 9)

Learn more here: brainly.com/question/18049211

5 0

3 years ago