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meriva
3 years ago
5

Given: F(x) = 2x - 1; G(x) = 3x + 2; H(x) = x 2 Find F[G(x)] - F(x). 4x + 4 4x + 2 4x

Mathematics
1 answer:
Allushta [10]3 years ago
4 0

Answer:

4x + 4

Step-by-step explanation:

F(x) = 2x - 1

G(x) = 3x + 2

H(x) = x²

We have to calculate the expression F(G(x)) - F(x)

F(G(x)) means the composition of functions F(x) and G(x). In order to find F(G(x)) we have to replace ever occurrence of x in F(x) with the value of G(x). So,

F(G(x)) = 2(3x+2) - 1 = 6x + 4 - 1 = 6x + 3

Thus,

F(G(x)) - F(x) = 6x + 3 - (2x - 1)

= 6x + 3 -2x + 1

= 4x + 4

Therefore, the expression F(G(x)) - F(x) equals 4x + 4

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2 years ago
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Read 2 more answers
What does 2 (p -q) +5 (p+q) equal when p = 7 and q = -2? Answer:​
salantis [7]

Answer:

43

Step-by-step explanation:

Given

2(p - q) + 5(p + q) ← substitute p = 7 and q = - 2 into the expression

= 2(7 - (- 2)) + 5(7 + (- 2))

= 2(7 + 2) + 5(7 - 2)

= 2(9) + 5(5)

= 18 + 25

= 43

7 0
3 years ago
the equation a equals 1 half b h, where b represents base and h represents height, is used to find the area of a .
NikAS [45]

The formula for b from the given area is equal to (2A / h).

As given in the question,

Formula to find area of a triangle is equal to A = (1/2) b h

b represents the base of the triangle

h represents the height of the triangle

A = (1/2) b h

Multiply both the side by 2 in area formula

2A = b h

Divide both the side by h

b = (2A) / h

Therefore, the formula for b from the given area is equal to (2A / h).

The complete question is:

The formula A = (1/2)b h represents the area of a triangle where A represents the area, b is the base of the triangle and h is the height of the triangle. 1. Solve this formula for b.

Learn more about area here

brainly.com/question/27683633

#SPJ4

6 0
1 year ago
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