Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Given that
f(x)=-2x,g(x)=x-2 and
h(x)=-2f(x)+3g(x+1), then what is the value of
h(6) ?
Answer:

Given that $f(x)=-2 x, g(x)=x-2$ and $h(x)=-2 f(x)+3 g(x+1)$ , then what is the value of $h(6)$ ? $\newline$ Answer:

View step-by-step help

View step-by-step help

Find trigonometric ratios using multiple identities

Full solution

Q. Given that

f(x)=-2 x, g(x)=x-2

and

h(x)=-2 f(x)+3 g(x+1)

, then what is the value of

h(6)

?

\newline

Answer:

Calculate $f(6)$ : First, we need to find the value of $f(6)$ using the function $f(x) = -2x$ . $\newline$ Calculate $f(6)$ by substituting $x$ with $6$ . $\newline$ $f(6) = -2 \times 6$ $\newline$ $f(6) = -12$
Find $g(x+1)$ : Next, we need to find the value of $g(x+1)$ when $x$ is $6$ . First, calculate $x+1$ when $x$ is $6$ . $\newline$ $x+1 = 6 + 1$ $\newline$ $x+1 = 7$ $\newline$ Now, calculate $g(7)$ using the function $g(x) = x - 2$ . $\newline$ $g(7) = 7 - 2$ $\newline$ $g(7) = 5$
Use values to find $h(6)$ : Now, we have the values of $f(6)$ and $g(7)$ . We can use these to find $h(6)$ using the function $h(x) = -2f(x) + 3g(x+1)$ . $\newline$ Substitute $f(6)$ and $g(7)$ into the function $h(x)$ . $\newline$ $h(6) = -2(-12) + 3(5)$ $\newline$ $h(6) = 24 + 15$ $\newline$ $f(6)$ $0$

More problems from Find trigonometric ratios using multiple identities

Question

\cos(\theta)=\frac{8}{17}

0^\circ<\theta<90^\circ

\sec(\theta)

? Write your answer in simplified, rationalized form.

\sec(\theta)=

Posted 2 months ago

Question

\cos(x) = -0.3

\sin(90^\circ - x)

Posted 2 months ago

Question

\csc(\theta) = \frac{17}{8}

0^\circ < \theta < 90^\circ

\tan(\theta)

\newline

Write your answer in simplified, rationalized form.

\newline

\tan(\theta) =

\newline

Posted 2 months ago

Question

Is the sine function even or odd?

\newline

\newline

\text{[A]even}

\newline

\text{[B]odd}

Posted 2 months ago

Question

Write the sentence as an equation.

\newline

89

is equal to the quotient of

y

17

\newline

/

) if you want to use a division sign.

\newline

Posted 1 month ago

Question

Write the sentence as an equation.

\newline

45

is equal to the quotient of

z

5

\newline

/

) if you want to use a division sign.

\newline

Posted 3 months ago

Question

h

\newline

h^2 + 24h = 0

\newline

Write each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas.

\newline

h =

Posted 3 months ago

Question

h^2 - 4h = 0

Posted 1 month ago

Question

Combine the like terms to create an equivalent expression:

\newline

-k-(-8k)=\square

Posted 4 months ago

Question

Which of the following degree measures is equal to

5 \pi

\newline

(The number of degrees of arc in a circle is

360

. The number of radians of arc in a circle is

2 \pi

\newline

1

\newline

144^{\circ}

\newline

900^{\circ}

\newline

1,080^{\circ}

\newline

1,800^{\circ}

Posted 1 month ago