All categories

2 years ago

Evaluate fog and gof if f(x)=5x-8 and g(x)= x^3

Mathematics

1 answer:

DerKrebs [107]2 years ago

3 0

Answer:

see explanation

Step-by-step explanation:

note that f ○ g = f(g(x))

To evaluate substitute x = x³ into f(x)

f(g(x)) = f(x³) = 5x³ - 8

In the same way

g ○ f = g(f(x))

To evaluate substitute x = 5x - 8 into g(x)

g(f(x)) = g(5x - 8) = (5x - 8)³

You might be interested in

Find an equation of the line parallel to the line y=5 and passing through -2,-3

Nutka1998 [239]

Y = 5x + c , ( -2 , -3 )
- 3 = 5 ( - 2 ) + c
c = 7
y = 5x + 7

i am a mathematics teacher. if anything to ask please pm me

3 0

2 years ago

If y varies inversely as x, and x=4 when y=5, find y when x =2

qwelly [4]

Y = k/x
5 = k/4
k = 20

3 0

2 years ago

Simplify this expression 4X^2y^3 x 2x^3y^4

Lena [83]

Answer:

8^5^7

Step-by-step explanation:

Multiply the numbers:

4X^2 y^3 x 2x^3 y^4

8^2 ^3 ^3 ^4

Combine Exponents:

8^2 ^3 ^3 ^4

8^5 ^3 ^4

8^5 ^3 ^4

8^5 ^7

7 0

1 year ago

What is the simplified form of 30 times x to the sixth power over 14 times y to the fifth power times the fraction 7 times y-squ

Sonbull [250]

If we convert the given in its mathematical form, we have,

(30x⁶/14y⁵)(7y²/6x⁴)
It can be observed that the numerator of the first and the denominator of the second have a common factor of 6x⁴. Also, the denominator of the first and the numerator of the second expression have a common factor of 7y².

((6x⁴)(5x²)/(7y²)(2y³))(7y²/6x⁴)

Cancellation of the common terms will give us an answer of,

5x²/2y³

Therefore, the simplified version of the involved operation is 5x²/2y³.

6 0

2 years ago

A grocery store is offering a sale on bread and soup. Khalil buys four cans of soup and

Flura [38]

Answer:

a) cblo

2)$3.44

Step-by-step explanation:

4 cans and 3 loaves=11.67

8 cans and 1 loaf= 12.89.

Set up equation:

x=cans