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Given that f(n) = 8n - 3 and g(n) = 3n - 10 <br> What is the value of f(-1)

padilas [110]

The value of f(-1) is -11 if the function f(n) = 8n - 3 after plugging the value of n is -1

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

f(n) = 8n - 3

g(n) = 3n - 10

To find the value of f(-1) first plug n = -1 in the function f(n)

f(-1) = 8(-1) - 3

f(-1) = -8 - 3

f(-1) = -11

Thus, the value of f(-1) is -11 if the function f(n) = 8n - 3 after plugging the value of n is -1

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

8 0

2 years ago

PLS HELP Given the following table with selected values of the linear functions g(x) and h(x), determine the x-intercept of g(h(

kiruha [24]

Using linear and composite functions, it is found that the x-intercept of g(h(x)) is $x = -\frac{5}{6}$ , given by option B.

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The equation of a line is:

$y = mx + b$

In which:

m is the slope.
b is the y-intercept.

Function g:

Two of the points are (-6,16) and (-4,10).
The slope is given by <u>change in y divided by change in x</u>, thus:

$m = \frac{10 - 16}{-4 - (-6)} = -3$

Thus:

$g(x) = -3x + b$

Point (-4,10) means that when $x = -4, g(x) = 10$ , and we use this to find b, so:

$10 = -3(-4) + b$

$12 + b = 10$

$b = -2$

Then

$g(x) = -3x - 2$

Function h:

Two of the points are (-6,-11) and (-4,-7).
The slope is:

$m = \frac{-7 - (-11)}{-4 - (-6)} = \frac{4}{2} = 2$

Thus:

$h(x) = 2x + b$

Point (-4,-7) means that when $x = -4, h(x) = -7$ , and we use this to find b, so:

$-7 = 2(-4) + b$

$-8 + b = -7$

$b = 1$

Then

$h(x) = 2x + 1$

The composite function is:

$g(h(x)) = g(2x + 1) = -3(2x + 1) - 2 = -6x - 3 - 2 = -6x - 5$

The x-intercept it the zero of the function, thus:

$-6x - 5 = 0$

$6x = -5$

$x = -\frac{5}{6}$

Which is option B.

A similar problem is given at brainly.com/question/21010520

6 0

2 years ago

Read 2 more answers

What is the greatest common factor of 48m5n and 81m2n2

fiasKO [112]

The greatest common factor is 3m^2n

8 0

4 years ago

Plane through A(1,-2,1) perpendicular to the vector from origin to A.

Aloiza [94]

(1, -2, 1) is perpendicular/normal to the plane, and passes through the point (1, -2, 1), so its equation is

$(x-1,y+2,z-1)\cdot(1,-2,1)=0\imples(x-1)-2(y+2)+(z-1)=0\implies\boxed{x-2y+z=6}$

7 0

3 years ago

5 hrs 45 min + 5 hrs 45 min

tekilochka [14]

5 hrs 45 min + 5hrs 45 min

(5 + 5)hrs + (45+45)min

10 hrs + 90 min

we can write it as

11 hrs 30 min

6 0

3 years ago

Read 2 more answers

PLEASE HELP AND GET 25 POINTS! ❄️ Please see the image