All categories

2 years ago

Given: f(x) = x - 7 and h(x) = 2x + 3

Mathematics

1 answer:

alexgriva [62]2 years ago

7 0

Answer:

h(f(x)) = 2x -11

Step-by-step explanation:

h(f(x)) = h(x -7) = 2(x -7) +3 . . . . . use f(x) as the argument for function h

= 2x -14 +3 . . . . . . . eliminate parentheses; next, combine terms

h(f(x)) = 2x -11

You might be interested in

Match each power of a power expression with its simplified expression.

VARVARA [1.3K]

Answer:

> $(4^6)^{-3}$ = $\frac{1}{4 ^ {18}}$

> $(4^{-3})^{-3}$ = $4 ^ 9$

> $(4^0)^{-9}$ = $4 ^0$

> $(-4^{-9})^2$ = $(-4) ^ {-18}$

Step-by-step explanation:

We have to expand the powers of each of them:

> $(4^6)^{-3}$ = $4^{(6 * -3)}$

= $4 ^ {-18}$

$(4^6)^{-3}$ = $\frac{1}{4 ^ {18}}$

> $(4^{-3})^{-3}$ = $4 ^ {(-3 * -3)}$

$(4^{-3})^{-3}$ = $4 ^ 9$

> $(4^0)^{-9}$ = $4 ^ {(0 * -9)}$

$(4^0)^{-9}$ = $4 ^0$

> $(-4^{-9})^2$ = $-4 ^ {( -9 * 2)}$

$(-4^{-9})^2$ = $-4 ^ {-18}$

8 0

2 years ago

Read 2 more answers

Can u help me I don't get it

Elina [12.6K]

Equivalent fractions can you help add or subtract because it can be easier to simplify.

hope that helped

6 0

2 years ago

I really don’t know how to do this at all , help

klasskru [66]

Answer:

Plot -11 on the tick mark directly to the left of -10.

Step-by-step explanation:

Hope this helps!

-Josh

5 0

2 years ago

Read 2 more answers

If (x + 1)(x-3) = 5, then which of the following statements is true?

bixtya [17]

Answer:

x=−2 or x=4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

x2−2x−3=5

Step 2: Subtract 5 from both sides.

x2−2x−3−5=5−5

x2−2x−8=0

Step 3: Factor left side of equation.

(x+2)(x−4)=0

Step 4: Set factors equal to 0.

x+2=0 or x−4=0

x=−2 or x=4

5 0

3 years ago

The measure of angle O is 7pi/6. The measure of its reference angle is.... ° and sin O is .....

scoray [572]

$\frac{7 \pi }{6}$ is in the 3rd quadrant... (It is also 210 degrees)
To find the reference angle (which is the distance to the x-axis)
$\frac{7 \pi }{6} - \pi = \frac{ \pi }{6}$ (or 30 degrees)

sin $\frac{ \pi }{6} = \frac{1}{2}$

6 0

3 years ago