Let f be an exponential function and g be a logarithmic function.

Mathematics

1 answer:

love history [14]3 years ago

8 0

Good evening ,

______

Answer:

1) (f+g)(1) = e

2) (fg)(1) = 0

3) (3f)(1) = 3e

___________________

Step-by-step explanation:

1) (f+g)(1) = f(1) + g(1) = e¹ + log1 = e + 0 = e.

2) (fg)(1) = f(1) × g(1) = e¹ × log(1) = e¹ × 0 = e × 0 = 0.

3) (3f)(1) = 3×f(1) = 3×e¹ = 3e.

You might be interested in

Mia’s work to find the slope of a trend line through the points (3, 10) and (35, 91) is shown below.

pochemuha

For this case the first thing you should know is that by definition the slope of the line is given by:
m = (y2-y1) / (x2-x1)
Where we have two ordered pairs:
P1 = (x1, y1)
P2 = (x2, y2)
We observe then that according to the formula, the error of mine was to invert the numerator with the denominator.
Answer:
C: Mia switched the numerator and the denominator.

5 0

3 years ago

Read 2 more answers

Which triangle has hypotenuse Side B F? A cube. The top face has points G, B, C, F and the bottom face has points H, A, D, E. tr

jolli1 [7]

Answer:

ΔBFG

Step-by-step explanation:

Since top face points are

G, B, C and F

and bottom face points are

H, A, D and E

The side BF can be a hypotenuse of the triangle BFG only

This triangle is on the top face and all the rest given triangles are formed by the points that are not on the same face, therefore BF can't be a hypotenuse of those, as ether B or F is becoming a right angle of the triangles.

3 0

3 years ago

Which of the following quadratic regression equations best fits the data shown below?

bazaltina [42]

Answer:

Step-by-step explanation:

In order to do this, you have to know how to use your calculator's regression equation function.

First enter in the data. Hit "stat" then 1:Edit and enter all the x values into L1. After each value, hit enter. When you're done with the x list, arrow over to L2 and enter in all the y-values. If there are already values there you need to clear, arrow up to highlight L1, hit "clear", then "enter" and the values will disappear. Do that for both lists if you need to.

After the data is listed in L1 and L2, hit "stat" again and arrow over to "Calc". Hit 5:QuadReg. If you have a TI 83, your equation will be there for you. If you have a TI 84, you'll need to arrow down to "calculate" to get the equation. Regardless, the equation is

$y=3.48x^2+1.22x+3.44$ , the last choice in your options.