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MAXImum [283]
3 years ago
12

Let f(x)=4x^2+13x-12 and g(x)=x+4. Perform the function operation F•g(x) Please help!!!

Mathematics
2 answers:
earnstyle [38]3 years ago
8 0

Answer: 4x³+29x²+40x-48

Step-by-step explanation:

The product of two functions=f(x)·g(x)=fg(x)

Use FOIL method to simplify expression.

  • First
  • Outer
  • Inner
  • Later

 f(x)·g(x)

=(4x²+13x-12)·(x+4)

=4x³+16x²+13x²+52x-12x-48

=4x³+29x²+40x-48

ruslelena [56]3 years ago
4 0

Answer: 4x³+29x²+40x-48

Step-by-step explanation:

To solve f(x)·g(x), you multiply them together.

(4x²+13x-12)(x+4)                           [distribute by FOIL]

4x³+16x²+13x²+52x-12x-48          [combine like terms]

4x³+29x²+40x-48

Now, we know that f(x)·g(x)=4x³+29x²+40x-48.

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3 years ago
Use the distributive property to write an equivalent expression.<br> 2(8v+2)
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3 years ago
A store bought a dining room table at a cost of $478 and marked it up 150%. Later on, the
Anastasy [175]

Answer:

$286.80

Step-by-step explanation:

First, find the price after the 150% markup:

478(1.5)

= 717

Now, calculate the price with the 60% discount:

717(0.4)

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3 0
3 years ago
If f(x) = x 2 + 1 and g(x) = 3x + 1, find [f(2)-g(1)] 2. 1 2 9
arsen [322]
Put the argument value where the variable is, then evaluate.
For f(x), you want f(2).
  f(2) = 2² + 1 = 4+1 = 5

For g(x), you want g(1).
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For [f(2) - g(1)] you want the difference of the above values.
  [f(2) - g(1)] = [5 - 4] = 1
8 0
3 years ago
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