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ikadub [295]
3 years ago
11

What is the inverse of "f"if f(x)=^3 sqrtx-5

Mathematics
2 answers:
sashaice [31]3 years ago
8 0
<span>y=<span><span>x−5</span><span>−−−−</span>√3

</span></span> <span><span>x=<span><span>y−5</span><span>−−−−</span>√3
 </span></span></span>
Cloud [144]3 years ago
5 0
Assuming that the original equation is
f(x)= \sqrt[3]{x-5}

the inverse of f(x) is f(y)

f(x)= \sqrt[3]{x-5}
   y=\sqrt[3]{x-5}

f₋₁(y)= \sqrt[3]{y-5}
   x=\sqrt[3]{y-5}
   x³= y-5
   y=x³+5

Thus f₋₁=y=x³+5
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F(x)=x what is the equation of the new function shift 8 units left shift 3 units down
nasty-shy [4]
Think of the equation of a linear function:  
Recall y = mx + b   for vertical shifts, we just add or subtract from 'b' and that will move the line up or down accordingly.. However, for horizontal shifts, we will need to add or subtract from 'x'.  Note that the slope or 'm' stays the same for each type of shift.  

Now that we know how the shifts occur, we might consider a different form of the equation for a linear function:  y = a(x - h) + k  here the 'a' is just our slope, 'k' is our original y intercept, and 'h' will represent the amount of horizontal shift.  

So to get the desired transformations of a horizontal shift to the left of 8 and a vertical shift of down 3 from our original function y = x, we can make the following changes:   y = (x + 8) - 3  Now you might be confused with how we got the 'x + 8'..   Let's consider values of 'h'.  For positive values of h, the result will be a shift to the right and for negative values of h the result will be a shift to the left.  So since we want a shift to the left we need to use a '-8' and when we substitute that into our new form, y = (x - h) + k you can see the sign change.  

Now we can simplify of course and get the final equation: y = x + 5 or in function form f(x) = x + 5
4 0
3 years ago
Can someone help me on this. I'm really confused
umka21 [38]

Answer: I believe its 120

Step-by-step explanation:

5 0
3 years ago
Help with this please
klasskru [66]
53 Degrees
53 Degrees
5 0
3 years ago
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F(x)=3x^3-12x^2+9x what the factor<br>​
alexandr1967 [171]

Answer:

f(x) = 3x(x-1)(x-3)

Step-by-step explanation:

f(x) = 3x³-12x²+9x = 3x(x²-4x+3) =

= 3x(x²-x-3x+3) = 3x[x(x-1)-3(x-1)] =

= 3x[(x-1)(x-3)] = 3x(x-1)(x-3)

6 0
3 years ago
Read 2 more answers
Bill wanted to try out different water craft he went 62 mikes downstream in a motor boat and 27 mikes down stream on a jest ski
valina [46]

Answer:

The speed on motorboat is 20 mph

Step-by-step explanation:

here, we want to find the speed on the motorboat

if he has a speed of x mph on the motor boat, his speed on the ski will be (x + 10) mph

The total hours is 4 hours

Mathematically; speed = distance/time

Time on ski is 27/x+ 10

Time on motor boat is 62/x

The addition of both is 4

Thus;

27/(x + 10) + 62/x = 4

27(x) + 62(x + 10) = 4(x)(x + 10)

27x + 62x + 620 = 4(x^2 + 10x)

89x + 620 = 4x^2 + 40x

4x^2 -49x-620 = 0

using the quadratic formula;

{-b ± √(b^2-4ac)}/2a

where a = 4, b = -49 and c = -620

= 49 ± √(-49)^2-4(4)(-620)/8

So we have

49+ 111/8 or 49-111/8

Speed cannot be negative

(49 + 111)/8

= 20 mph

3 0
2 years ago
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