If f(x)=x^2-3 and

1 answer:

4 0

Since it is f of g you have to start by plugging in g(x) into f(x)

(4-3x)^2-3

Then just solve the equation

(4-3x)^2-3
(4-3x)(4-3x)-3 Square the binomial
8-12x-12x+9x^2-3 Combine like terms
5-24x+9x^2 Final answer

You might be interested in

Gianna has a two $3,000 one year CDs at different banks. Each compounds

sertanlavr [38]

Answer:

Option D

Step-by-step explanation:

To calculate compound interest we will use the formula :

$A=P(1+\frac{r}{n})^{nt}$

Where,

A = Amount on maturity

P = Principal amount = $3000

r = rate of interest = 8.4% = 0.084

n = number of compounding period = Monthly = 12

t = time = 1 year

Now put the values in the formula.

$A=3000(1+\frac{0.08}{12})^{(12)(1)}$

= $3000(1+0.007)^{12}$

= 3000(1.007)¹²

= 3000 × 1.08731066

= 3261.93198 ≈ $3261.93

While the other bank compounds interest daily.

Therefore, n = 365

Now put the values in the formula with n = 365

$=3000(1+\frac{0.084}{365})^{(365)(1)}$

$=3000(1+0.00023014)^{365}$

$=3000(1.00023014)^{365}$

= 3000 × 1.08761958

= 3262.85874 ≈ $3262.86

Difference in the ending balance = 3262.86 - 3261.93

= $0.93

The difference in the ending balances of both CDs after one year would be $0.93.

8 0

3 years ago

11% as a decimal= 200% as a decimal= 20.07% as a decimal 198.4% as a decimal

Hitman42 [59]

To convert from a percentage to a decimal, move the decimal twice to the left

11% = 0.11
200% = 2.00
20.07% = 0.2007
198.4% = 1.984

Hope this helps!

8 0

3 years ago

Read 2 more answers

Limit definition for slope of the graph, equation of tangent line point for f(x)=2x^2 at x=(-1)

Tems11 [23]

The slope of the tangent line to $f$ at $x=-1$ is given by the derivative of $f$ at that point: