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Debora [2.8K]
3 years ago
13

How do you find the inverse of this function?

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
5 0
Solve for x then replace x with f⁻¹(x) and y with x


y=(4^x-5)/3
times 3
3y=(4^x-5)
add 5
3y+5=4^x
take log₄ both sides
log₄(3y+5)=x
switch
f⁻¹(x)=log₄(3y+5)
You might be interested in
Jim spent $46.16 on some mulch and one shovel. Each bag of mulch costs $3.49 and the shovel cost $14.75. How many bags of mulch
mezya [45]
To find the amount he spent on bags of mulch you must take the cost of the shovel away from the total, giving the equation:
46.16-14.75=3.49x
To covert this to whole numbers, multiply by 100
4616-1475=349x
3141=349x
x=9
4 0
3 years ago
Can someone help me please
dmitriy555 [2]

Answer:

Step-by-step explanation:

The rule with like bases is that when you multiply them you add their exponents.

m^4*m^1=m^5

Therefore, our final simplification is

4m^5n^7

7 0
3 years ago
Read 2 more answers
The student council sells cookies every 9 days and ice cream every 12 days. If both are being sold today, how many days will it
blondinia [14]
Cookies : 9, 18, 27, 36,
Ice cream: 12, 24, 36

So in 36 days.
6 0
3 years ago
Read 2 more answers
Approximate the zeros of the function. Round to the nearest tenth if necessary. f(x) = 4x^2 + 4x - 35. Explain each step on how
svet-max [94.6K]
4x²+4x-35=0
factor: (2x+7)(2x-5)=0
2x+7=0, or 2x-5=0
2x=-7 or 2x=5
x=-3.5 or x=2.5

I don't see any rounding necessary in this case. 

when you factor ax²+bx+c, you take the two factors of a and the two factors of c, one factor of a times one factor of c, the other factor of a times the other factors, the sum of the two products make b.
in this case, the factors of 4 is 2 and 2, the factors of -35 is -5 and 7. I line them up in the following way:
2    -5

2      7
then I multiple them diagonally, the top left 2 multiplying the bottom right 7=14, and the other 2 multiplying -5=-10, 14 and -10 make a sum of 4.

if you don't get the desired sum, switch the factors up and down till you have the right combination. Note: Do not switch left and right. 

I hope this makes sense to you.
8 0
3 years ago
3 yd 2ft= how many inches?
Marina CMI [18]
36 inches is the answer. GOOD LUCK WITH UR ASSIGNMENT
8 0
3 years ago
Read 2 more answers
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