Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

$Given the definitions of f(x) and g(x) below, find the value of g(f(8)). {:[f(x)=2x-13],[g(x)=x^(2)+4x-9]:} Answer:$

Given the definitions of $f(x)$ and $g(x)$ below, find the value of $g(f(8))$ . $\newline$ $\begin{array}{l} f(x)=2 x-13 \\ g(x)=x^{2}+4 x-9 \end{array}$ $\newline$ Answer:

View step-by-step help

View step-by-step help

Evaluate exponential functions

Full solution

Q. Given the definitions of

f(x)

and

g(x)

below, find the value of

g(f(8))

.

\newline

\begin{array}{l} f(x)=2 x-13 \\ g(x)=x^{2}+4 x-9 \end{array}

\newline

Answer:

Find $f(8)$ : First, we need to find the value of $f(8)$ . Substitute $8$ into the function $f(x)$ . $f(8) = 2(8) - 13$
Calculate $f(8)$ : Now, let's perform the calculation for $f(8)$ .
$f(8) = 2(8) - 13$
$f(8) = 16 - 13$
$f(8) = 3$
Find $g(f(8))$ : Next, we need to find the value of $g(f(8))$ , which means we need to substitute $f(8)$ into $g(x)$ . $\newline$ Substitute $3$ into the function $g(x)$ . $\newline$ $g(f(8)) = g(3)$ $\newline$ $g(3) = (3)^2 + 4(3) - 9$
Calculate $g(3)$ : Finally, let's perform the calculation for $g(3)$ .
$g(3) = (3)^2 + 4(3) - 9$
$g(3) = 9 + 12 - 9$
$g(3) = 21 - 9$
$g(3) = 12$

More problems from Evaluate exponential functions

Question

x

\newline

5^x=1

\newline

\newline

Write your answer in simplest form.

Posted 5 months ago

Question

Steven opened a savings account and deposited

\$100.00

as principal. The account earns

9\%

interest, compounded annually. What is the balance after

5

\newline

Use the formula

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

A

is the balance (final amount),

P

is the principal (starting amount),

r

is the interest rate expressed as a decimal,

n

is the number of times per year that the interest is compounded, and

t

is the time in years.

\newline

Round your answer to the nearest cent.

Posted 4 months ago

Question

Use the following function rule to find

f(1)

\newline

f(x) = 12(7)^x + 8

Posted 5 months ago

Question

The town of Valley View conducted a census this year, which showed that it has a population of

1,800

people. Based on the census data, it is estimated that the population of Valley View will grow by

12\%

\newline

Write an exponential equation in the form

y = a(b)^x

that can model the town population,

y

x

decades after this census was taken.

\newline

Use whole numbers, decimals, or simplified fractions for the values of

a

b

\newline

y =

Posted 8 months ago

Question

x

\newline

7 = 9^x

\newline

Round your answer to the nearest thousandth.

Posted 4 months ago

Question

Solve. Round your answer to the nearest thousandth.

\newline

7 = e^x

\newline

x =

Posted 7 months ago

Question

Solve. Simplify your answer.

\newline

\log u = 1

\newline

u =

Posted 9 months ago

Question

Solve. Simplify your answer.

\newline

7\log x = 7

\newline

x =

Posted 7 months ago

Question

g(t) = 3^t

change over the interval from

t = 3

t = 4

\newline

\newline

g(t)

3

\newline

g(t)

3

\newline

g(t)

3\%

\newline

g(t)

200\%

Posted 4 months ago

Question

f(x)

6

over every unit interval in

x

f(0) = 0

\newline

Which could be a function rule for

f(x)

\newline

\newline

f(x) = 6x

\newline

f(x) = 6^x

\newline

f(x) = \frac{1}{6^x}

\newline

f(x) = \frac{x}{6}

Posted 4 months ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant