Mathematics, 08.10.2019 04:50 autumnskye1

Let f(x) = −4x 7 and g(x) = 10x − 6. find f(g( (1 point)−40x 24 −40x 31 −40x 64 −40x 70

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Answer from: Gladistshiala267

$\boxed{ \ f(g(x)) = 31 - 40x\ }$

Further explanation

This is a question about the composition of functions. Composition of functions is when one function is inside of another function. If we are given two functions, it is possible to generate or produce a new function by arranging one to another.

The order in function composition is so important. We always compose functions from right to left. Therefore, its input is consistently the one to its right side. Put differently, the right function goes inside the left function.

Let's look at these:

The g function is inside of the f function $\boxed{ \ (f o g)(x) = f(g(x)) \ }$ The f function is inside of the g function $\boxed{ \ (g o f)(x) = f(g(x)) \ }$

Given $f(x) = - 4x + 7 \ and \ g(x) = 10x - 6.$

Find f(g(x))

Replace each appearance of x in f(x) with g(x) = 10x - 6. as input.

$\boxed{ \ f(g(x)) = -4(10x - 6) + 7 \ }$

Simplify the proper answer by distributing and combining like terms. Multiply -4 into parentheses.

$\boxed{ \ f(g(x)) = -40x + 24 + 7 \ }$

Thus, $\boxed{ \ f(g(x)) = -40x + 31 \ or \ f(g(x)) = 31 - 40x\ }$

Extra question:

From the same problem, solve for f(g(-1)).

Replace the variable x in f (g (x)) with -1.

$\ f(g(-1)) = 31 - 40(-1) \ }$

$\ f(g(-1)) = 31 + 40 \ }$

Hence, $\boxed{ \ f(g(-1)) = 71 \ }$

Learn moreIf f(x) = x² – 2x and g(x) = 6x + 4, for which value of x does (f o g)(x) = 0? Solve for the value of the function composition Look for rotation rules in the transformation

Keywords: composition of function, a new function, the value, the f function is inside of the g, produce, compose, right to left

Let f(x) = −4x 7 and g(x) = 10x − 6. find f(g( (1 point)−40x 24 −40x 31 −40x 64 −40x 70

Answer from: cleef6451

-40x+31

Step-by-step explanation:

sub 10x − 6(which is g(x)) into the x of −4x +7(which is f((x))

-4(10x − 6) +7

-40+24+7

-40x+31

Answer from: Quest

pentagon

step-by-step explanation:

the coordinates a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

Answer from: Quest

the slope of the line is 60

one point on the line is (40,10)

step-by-step explanation:

in the equation outside the parenthesis the equation always tells you the slope. in this case it is 60.

in the parenthesis is also says 40 which is x because it is near the x and 10 is y because it is near y.

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Let f(x) = −4x 7 and g(x) = 10x − 6. find f(g( (1 point)−40x 24 −40x 31 −40x 64 −40x 70...

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