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2 years ago

For all values of x,

Mathematics

1 answer:

Nana76 [90]2 years ago

6 0

Answer:

For f(x) = 2x + 3 and g(x) = -x 2 + 1, find the composite function defined by (f o g)(x)

(f o g)(x) = f(g(x))

= 2 (g(x)) + 3

= 2( -x 2 + 1 ) + 3

= - 2 x 2 + 5 Given f(2) = 3, g(3) = 2, f(3) = 4 and g(2) = 5, evaluate (f o g)(3)

Step-by-step explanation:

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A curve in polar coordinates is given by: r=9+3cosθ. Point P is at θ=21π/18 .?

ikadub [295]

Answer:

Step-by-step explanation:

Given that a curve in polar coordinates is given by:

r=9+3cosθ

a) At point P, we have

$θ=\frac{21\pi}{18}$

Substitute to get

$r=9+cos \frac{21\pi}{18}\\=9.3932$

b) Cartesian coordinate is

$x= rcos \theta=3.6934\\y =r sin \tjeta =8.6365$

c) At the origin r =0

when r =0

we have

$9+3cos\theta=0\\cos\theta =-3$

Since cos cannot take values as -3 it doe snot pass through origin.

6 0

3 years ago

Work out the y-intercept of the line going<br> through (1, 2) with a gradient of 3

Tasya [4]

I think we need a coordinate grid for that,,

4 0

3 years ago

Read 2 more answers

What is the equation of the line that passes through the point (-2,7) and has a slope of zero

Lina20 [59]

Answer:

Equation of the line that passes through the point (-2,7) and has a slope of zero is given as

$y=7$

Step-by-step explanation:

Equation of line is given as

$y-y_1=m(x-x_1)$ -----------(1)

Here

$m=0 \ \ \ and \ \ \ (x_1, y_1) = (-2, 7)$

Substituting values in equation (1)

$y-7=0(x+2)\\y=7$

5 0

2 years ago

Which statement best explains why the graphed relation is not a function?

timurjin [86]

C. A function can only have one y value for an x value

5 0

3 years ago

What is the slope of the line that passes through the points (7, -4) and (7, 0)? Write your answer in the simplest form.

olga55 [171]

Answer:

The slop is undefined

i.e. $m=\infty$

Step-by-step explanation:

Considering the slope formula

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

As the points are (7, -4) and (7, 0)

Here:

(x₁, y₁) = (7, -4)

(x₂, y₂) = (7, 0)

$\mathrm{When\:}y_1\ne \:y_2\mathrm{\:and\:}\:x_1=x_2\mathrm{\:the\:slope\:is\:}\infty$

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$=\frac{\left(0-\left(-4\right)\right)}{\left(7-7\right)}$

$=\frac{0-\left(-4\right)}{0}$

$=\infty$

Therefore, the slop is undefined i.e. $m=\infty$

5 0

3 years ago