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4 years ago

F(x) = 4x + 7, g(x) = 3x2

Mathematics

1 answer:

Luda [366]4 years ago

7 0

Answer:

(1)

$(f+g)(x)=3x^2+4x+7$

(2)

Step-by-step explanation:

we are given

$f(x)=4x+7$

$g(x)=3x^2$

we have to find (f+g)(x)

we can write

$(f+g)(x)=f(x)+g(x)$

now, we can plug values

and we get

$(f+g)(x)=4x+7+3x^2$

we can also write as

$(f+g)(x)=3x^2+4x+7$

so, answer is

$(f+g)(x)=3x^2+4x+7$

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4 years ago

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2 years ago

Please help me simplify these expressions

Rina8888 [55]

Answer:

4. -2s^9

7. 8b^10

Step-by-step explanation:

First, focus on the number part of the expression. For 4), multiply -2 x -1 x -1 = -2. Then, look at the exponents. When you're multiplying exponents with the same base (in number 4, the base is s), you can add the exponents.

2+3+4 = 9; which makes it s^9. Multiply -2 x s^9, which gives you -2s^9.

Same thing for 7). Multiply all the numbers first. this gives you 8. (Remember two negatives equals a positive). Add all of the exponents of b together, which gives you 10. (when a variable has no exponent, it means that the exponent is 1.) Multiplying 8 and b^10 should give you 8b^10.

It may help to brush up on exponent rules and sign rules.

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4 years ago

Graph each piecewise function. Then Identify the properties.

Mazyrski [523]

Answer:

The domain is:

x: (-∞, 0] U (0, ∞)

The range is

y: [0, ∞)

Step-by-step explanation:

These types of functions are known as piecewise functions. It has two pieces of functions, you must graph both pieces for each interval.

First, graph:

y = -x for x from -∞ to x = 0

Note that y = -x is the equation of a negative slope line = -1 that passes through the origin

Second, graph:

y = x for x from x = 0 to ∞

Note that y = x is the equation of a positive slope line = 1 that passes through the origin.

The graph of this function is shown in the attached image. Note that it matches the absolute value graph of x.

y = | x |

In this function y it is always positive, and x can be any real number.

Therefore the domain is:

x: (-∞, 0] U (0,∞)

The range is:

y: [0, ∞)

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3 years ago