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Rom4ik [11]
3 years ago
11

What is the inverse function for h(x) =

{x+7} -1" alt="\sqrt{x+7} -1" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Blizzard [7]3 years ago
5 0

Step-by-step explanation:

y =  \sqrt{x + 7}  - 1

Replace x and y.

x =  \sqrt{y + 7}  - 1

Solve for y.

x + 1 =  \sqrt{y + 7}

Square both sides.

(x + 1) {}^{2}  = y + 7

(x + 1) {}^{2}  - 7 = y

This is the inverse function or you can also say

{x}^{2}  + 2x - 6 = y

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What is this can anyone help me
Solnce55 [7]

g(x) = (x - 3)² - 4

given f(x) is shifted a units horizontally to the right → f(x) → f(x - a)

If f(x) is shifted by a units horizontally left → f(x) → f(x + a)

If f(x) is shifted by b units vertically up → f(x) → f(x) + b

If f(x) is shifted by b units vertically down → f(x) → f(x) - b

The vertex (0, 0) of f(x) has shifted to (3, -4)

that is 3 units horizontally to the right and 4 units vertically down

hence g(x) = (x - 3)² - 4


4 0
4 years ago
Whats the answer to 45=x(14-x)
ElenaW [278]
45=x(14-x)\\ \\45=14x-x^2\\ \\x^2-14x+45=0\\ \\\Delta = b^{2}-4ac =  (-14)^{2}-4*1* 45=196-180=16 \\ \\x_{1}=\frac{-b-\sqrt{\Delta }}{2a} =\frac{14- \sqrt{16}}{2}=\frac{14-4}{2}= \frac{12}{2}=6\\ \\x_{2}=\frac{-b+\sqrt{\Delta }}{2a} =\frac{14+\sqrt{16}}{2}=\frac{14+4}{2}= \frac{18}{2}=9
3 0
3 years ago
Read 2 more answers
Identify the slope (m) and y intercept for -0.6x+y=-4​
Natalija [7]

Answer:

Slope is -0.6

y-intercept is -4

Step-by-step explanation:

y=mx+b

8 0
3 years ago
Read 2 more answers
3. Find the measure of x.<br> a 18°<br> b. 54°<br> C 126<br> d. 45
Nataliya [291]

Answer:

18 degrees

Step-by-step explanation:

The triangle is an iscoceles right triangle.

The angles in a triangle add up to 180.

90+2y (iscoceles) =180

2y=90

y=45

So the angles of the right triangle are 45. However, you have to take away 27 because you are solving for only a part of 45. 45-27=18

6 0
3 years ago
Read 2 more answers
Let C(x) be the cost to produce x batches of​ widgets, and let R(x) be the revenue in thousands of dollars. R(x) = − x² + 6x​, C
Musya8 [376]

Answer:

Step-by-step explanation:

Let C(x) be the cost to produce x batches of​ widgets, and let R(x) be the revenue in thousands of dollars.

R(x) = -x^2 + 6x,\\ C(x) = x + 4.

Profit function = Revenue  - cost

So we get profit function by subtracting C(x) from R(x) using algebraic method of subtraction.

Profit function of x

= Pr(x) = R(x) -C(x)\\= -x^2+6x-x-4\\=-x^2+5x-4

7 0
3 years ago
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