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harina [27]
1 year ago
11

What is the composition f(g(x))iff(x) = 5x and g(x) = 2x – 1.?10x - 1

Mathematics
1 answer:
____ [38]1 year ago
3 0

Given the functions;

f(x) = 5x

g(x) = 2x-1

Required

The composite function f(g(x))

f(g(x)) = f(2x-1)

To get f(2x-1), we are to replace x with 2x-1 in f(x) as shown;

f(2x-1) = 5(2x-1)

Open the parenthesis;

f(2x-1) = 5(2x)-5(1)

f(2x-1) = 10x - 5

f(g(x)) = 10x - 5

Hence the composition f(g(x)) is 10x - 5

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The base of a parallelogram is 18 inches longer than three times the height. The area of the parallelogram is 216 square inches.
nordsb [41]

Answer:

12 inches

Step-by-step explanation:

Let b represent the base

h represents the height

area of the parallelogram = base * height = 216 square inches

From the question'

b = 18 + 3h

Slot in the value of b

216 = (18 + 3h) * h

expand

216 = 18h + 3h^2

subtract 216 from both sides

0 = 18h + 3h^2 - 216

rearrange

3h^2 + 18h - 216 = 0

divide through by 3

h^2 + 6h - 72 = 0

Now, lets solve!

h^2 + 6h - 12h - 72 = 0

h( h + 6 ) - 12(h + 6) = 0

(h - 12) (h + 6) = 0

h - 12 = 0

h = 12

and

h + 6 = 0

h = - 6

Taking the positive value of h

Hence, the height is 12 inches

Lets check

when h = 12 inches

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when h = -6inches

A = 18 * -6 ≠  216 square inches

So height is 12 inches

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4 years ago
2y to the 2nd power +11y +14
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Step-by-step explanation:

Given

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=2y^2 +(7+4)y+14

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