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Marat540 [252]
3 years ago
10

For f(x) = 5x – 3 and g(x) = 2x2 - 5, find the following functions.

Mathematics
1 answer:
frozen [14]3 years ago
7 0

Answer:

See answer below

Step-by-step explanation:

Given the functions f(x) = 5x – 3 and g(x) = 2x2 - 5, find the following functions.

a)(fog)(x) = f(g(x))

f(g(x)) = f(2x^2-5)

f(g(x)) = 5(2x^2-5) - 3

f(g(x)) = 10x²-25-3

f(g(x)) = 10x² - 28

b) g(f(x)) = g(5x-3)

g(f(x)) = 2(5x-3)²-5

g(f(x)) = 2(25x²-30x+9)-5

g(f(x)) = 50x²-60x+18-5

g(f(x)) = 50x²-60x+13

c)(fog)(2) = f(g(2))

f(g(x)) = f(2x^2-5)

f(g(2)) = 10(2)² - 28

f(g(2)) = 10(4)-28

f(g(2)) = 12

d) g(f(x)) = g(5x-3)

g(f(x)) = 2(5x-3)²-5

g(f(x)) = 50x²-60x+13

g(f(2)) = 50(2)²-60(2)+13

g(f(2)) = 200-120+12

g(f(2)) =80+12

g(f(2)) = 92

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Step-by-step explanation:

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3 years ago
Need help with this asap!
Brums [2.3K]

Answer:

The answer to your question is   b = 8.06 cm

Step-by-step explanation:

Data

hypotenuse = c = 9 cm

long leg = b = ?

short leg = a = 4 cm

Process

This is a right triangle so we must use the Pythagorean theorem to find the length of the long leg (b)

                      c² = a² + b²

-Solve for b²

                      b² = c² - a²

-Substitution

                      b² = 9² - 4²

-Simplification

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                       b² = 65

-Result

                      b = 8.06 cm

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3 years ago
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