3 years ago

For f(x)=4x+1 and g(x)=x^2-5 find (fg)(x)

Mathematics

1 answer:

ANEK [815]3 years ago

4 0

Answer:

4x^3+x^2-20x-5

Step-by-step explanation:

f(x)=4x+1 and g(x)=x^2-5

(fg)(x) = f(x) *g(x)

= (4x+1) *(x^2-5)

FOILing

First 4x*x^2 = 4x^3

outer 4x*-5 = -20x

inner 1 * x^2 = x^2

last 1 * -5 = -5

Add them together

= 4x^3 -20x+x^2-5

Put the terms in order from greatest power to least power

=4x^3+x^2-20x-5

You might be interested in

Ava's Ice Cream Shop sold 25 sundaes with nuts and 3 sundaes without 10

Inessa [10]

Answer:

7:5 or 5:7

Step-by-step explanation:

4 0

3 years ago

Jamie has 8/10 of a candy

Fofino [41]

Answer:

2 pieces (that each equal 1/3 of the whole bar)

6 0

3 years ago

Francine Flicka found a bargain when she bought a lawn mower. She paid the store's clerk three $20 bills and received him $7.45

adoni [48]

Answer:

$48.97

Step-by-step explanation:

Let p represent the marked price of the mower. Then the price with tax is ...

with tax = p + 7.3%×p = 1.073p

The amount Flicka paid is the amount tendered less the change she received, so is ...

3×$20 - 7.45 = with tax = 1.073p

To find p, we can divide by its coefficient:

(3 × $20 - 7.45)/1.073 = p ≈ $48.97

The selling price before taxes was $48.97.

_____

<em>Comment on the problem</em>

If you check the answer, you find the amount with tax is ...

$48.97 × 1.073 ≈ $52.54481 ≈ $52.54

so the change Flicka would have received would have been $7.46, not $7.45. If the price were $48.98, then the change would have been $7.44. There is no price at which the mower can be marked that will make the total with tax come to $52.55. There is no solution to this problem.