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3 years ago

For this question, use the following functions.

Mathematics

1 answer:

Lubov Fominskaja [6]3 years ago

5 0

Answer:

4x + 18

Step-by-step explanation:

This is called a composite function, meaning passing the range of one function as a domain of another function.

For f(f(x)), the inner-function's range is passed as the domain of the outer function.

We can do so by substitution,

The range of f(x) can be written as 2x + 6 for any defined x values,

So we will substitute 2x + 6 as the 'x' of another function which is in this case

f(x) again, so it looks like this 2(2x+6) + 6 which can be simplified into

4x + 18

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Please please help please please

vova2212 [387]

Answer:

transformation, cause you aren't altering it

Step-by-step explanation:

8 0

3 years ago

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If f(x)=x^2 and g(x)=1÷2x+3 find g(f(-1))

gogolik [260]

ANSWER

$g(f( - 1)) = \frac{1}{5 }$

EXPLANATION

The given function is:

$f(x) = {x}^{2}$

and

$g(x) = \frac{1}{2x + 3}$

$g(f(x)) = g( {x}^{2} )$

$g(f(x)) = \frac{1}{2{x}^{2} + 3 }$

To find g(f(-1)), we substitute x=-1, to obtain;

$g(f( - 1)) = \frac{1}{2{( - 1)}^{2} + 3 }$

We simplify the square in the denominator to get,

$g(f( - 1)) = \frac{1}{2+ 3 }$

We now add the denominator to obtain;

$g(f( - 1)) = \frac{1}{5 }$

6 0

4 years ago

How to write y-2=-1/3 (x+6) in standard form and why PLZ HELP

stich3 [128]

$y-2=-\frac{1}{3}(x+6)\\y=-\frac{1}{3}(x+6)+2$

Simply move -2 to another side.

$y=-\frac{x}{3}-2+2$

Distribute -1/3 in (x+6)

$y=-\frac{x}{3}$ ---> Answer

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3 years ago

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I neeed helpppppppp please

Nat2105 [25]

Answer:

I think its aas

Step-by-step explanation:

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3 years ago

2x-√x(1-2x) =1<br> x+√4-x² =2

snow_lady [41]

Answer:

or, 2x-x^2+2x^2=1

or,2x+x^2=1

or,x^2+2x-1=0

or,x^2+x+x-1=0

or,x(x+1)+1(x-1)=0

or,(x+1)(x-1)=0

therefore x=(-1,+1)

7 0

3 years ago