3 years ago

DESPERATE HELP NEEDED!!! MATHS!!! WILL AWARD BRAINLIEST!!!

Mathematics

1 answer:

lapo4ka [179]3 years ago

6 0

Answer:

a) 24

b) f^-1 = $\sqrt{x+1}$

c) 3

Step-by-step explanation:

Just plug the numbers in for x:

(5)^2 -1 = 24

Switch x and y then solve for y and replace y with f^-1(x):

x = y^2 -1

sqrt(x +1) = y = f^-1(x)

Now plug in 8:

f^-1(x) = sqrt(8 +1) = 3

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-8<2x-4<4 solve the inequality

il63 [147K]

Answer:

Step-by-step explanation:

The inequality will be split into two

It is know that, if a<b<c

Then a<b and b<c

-8<2x-4<4

Apply that to this

Then,

-8<2x-4. Equation 1

Also,

2x-4<4 equation 2

Solving equation 1

-8<2x-4

Add 4 to both side of the equation

-8+4<2x-4+4

-4<2x

Divide both sides by 2

-4/2<2x/2

-2<x

Note, if a is less than b, then, b is greater than a, e.g. 4 is less than 10, this implies 10 is greater than 4

Therefore,

-2<x

Then, x greater than -2

Equation 2

2x-4<4

Add 4 to both side of the inequalities

2x-4+4<4+4

2x<8

Divide both side by 2

Then,

2x/2<8/2

x<4

Therefore x is between -2 and +4.

Check attachment for graphical solution

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