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2 years ago

What function is the inverse of the exponential function y = 4^x?

1 answer:

6 0

Cancel the common factor of ln(4) ln ( 4 ) . Divide x x by 1 1 . Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=ln(x)ln(4) f - 1 ( x ) = ln ( x ) ln ( 4 ) is the inverse of f(x)=4x f ( x ) = 4 x .

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Factorize: 3a^2 + 10a + 3

sergey [27]

Answer: (3a + 1) (a + 3)

Step-by-step explanation:

Concept:

Here, we need to know the idea of factorization.

It is like "splitting" an expression into a multiplication of simpler expressions. Factoring is also the opposite of Expanding.

Solve:

Given = 3a² + 10a + 3

STEP ONE: separate 3a² into two terms

STEP TWO: separate 3 into two terms

STEP THREE: match the four terms in ways that when doing cross-multiplication, the result will give us 10a.

3a 1

a 3

When cross multiply, 3a × 3 + 1 × a = 10a

STEP FOUR: combine the expression horizontally to get the final factorized expression.

3a ⇒ 1

a ⇒ 3

(3a + 1) (a + 3)

Hope this helps!! :)

Please let me know if you have any questions

7 0

2 years ago

BD Bisects ABC. Find the value of x in the image shown below

IRISSAK [1]

Answer:

Since BD Bisects ABC,

Hence,

Angle CBD=Angle DBA

-> 55°=x°+12°

-> x° =55°-12°

-> x° =43°

6 0

2 years ago

R is in the middle of pqs btw

Vlad [161]

Answer:

Step-by-step explanation:

5x = 3x - 2 + 34

5x = 3x + 32

2x = 32

x = 16

plug back in

3( 16 ) - 2

48 - 2

5 0

2 years ago

QUESTION NUMBER ONE

Mashutka [201]

Answer:

$68.85

Step-by-step explanation:

19% of $85 is $16.15

$85 - $16.15 = $68.85

5 0

2 years ago

Please solve the equation (15m + 3)/2 = -6

stiv31 [10]

Answer:

m = - 1

Step-by-step explanation:

Given

$\frac{15m+3}{2}$ = - 6

Multiply both sides by 2 to clear the fraction

15m + 3 = - 12 ( subtract 3 from both sides )

15m = - 15 ( divide both sides by 15 )

m = - 1

6 0

2 years ago

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