Which of the following transformations are linear? a. t(f(t))=f′(t)+4f(t) t(f(t))=f′(t)+4f(t) from c[infinity] c[infinity] to c[infinity] c[infinity] b. t(x+iy)=9x−iy t(x+iy)=9x−iy from c c to c c c. t(x0,x1,x2,…)=(1,x0,x1,x2,…) t(x0,x1,x2,…)=(1,x0,x1,x2,…) from the space of infinite sequences into itself d. t(f(t))=f′(t)+6f(t)+8 t(f(t))=f′(t)+6f(t)+8 from c[infinity] c[infinity] to c[infinity] c[infinity] e. t(f(t))=f(7) t(f(t))=f(7) from p2 p2 to r r f. t(f(t))=f(−t) t(f(t))=f(−t) from p3 p3 to p3 p3

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is

answer: (3,11) is your answer.