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3 years ago

F(x) = 4x+3x g(x) = 2x-5 7. Find (f+9) (x) 8. Find (f - g) (x)

Mathematics

1 answer:

notka56 [123]3 years ago

3 0

Answer:

7. $(f+g)(x) = 6x - 2$

8. $(f-g)(x) = 2x + 8$

Step-by-step explanation:

We are given two function, f(x) and g(x).

We want to find their addition and their subtraction, and we do this combining like terms.

The functions are:

$f(x) = 4x + 3$

$g(x) = 2x - 5$

7. Find (f+9) (x)

$4x + 3 + 2x - 5 = 4x + 2x + 3 - 5 = 6x - 2$

$(f+g)(x) = 6x - 2$

8. Find (f - g) (x)

$4x + 3 - (2x - 5) = 4x + 3 - 2x + 5 = 4x - 2x + 3 + 5 = 2x + 8$

$(f-g)(x) = 2x + 8$

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3 years ago

Which is the correct way to solve the given equation

Karolina [17]

Option 2. $x = \frac{4 \pm \sqrt{(-4)^{2}-4 (1)(-21)}}{2 (1)}$ shows the correct way to use the quadratic formula to solve the given equation.

Step-by-step explanation:

Step 1:

For an equation of the form $ax^{2} +bx+c=0$ the solution is $x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$ .

Here a is the coefficient of $x^{2}$ , b is the coefficient of x and c is the constant term.

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Comparing $x^{2} -4x-21=0$ with $ax^{2} +bx+c=0$ , we get that a is 1, b is -4 and c is -21.

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Step 2:

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