Answer
q1.
Given:
Rewrite this function in the way as;
then;
and
q2.
Given the function:
and
Confirm f and g are inverses by showing f(g(x)) =x and g(f(x)) =x
First show f(g(x)) =x
f(g(x)) = 9(g(x)) + 3
Substitute the function g(x) we have;
or
= x -3 + 3 = x
f(g(x)) =x
Similarly show that: g(f(x)) =x
Substitute the value of function g(x) we have;
Simplify:
hence proved!
Therefore, f and g are inverse of each other after showing f(g(x)) =x and g(f(x)) =x
<span>If you ha e $16 and you spend $7
</span><span>fraction of money spent = 7/16</span>
Answer:
This is a fourth-degree polynomial
X-intercepts are - 5, -5, 3, and -3
The Y-intercept is 225
Step-by-step explanation:
Since it's already in the factored form you can find the zeros by separating each binomial and solving for x
x
2
−
25
=
0
x
2
=
25
x
=
±
5
x
2
−
9
=
0
x
2
=
9
x
=
±
3
so
x
=
±
5
,
±
3
To find the y-intercept and the degree of the polynomial we need to convert the factored form into standard form
f
(
x
)
=
(
x
2
−
25
)
(
x
2
−
9
)
f
(
x
)
=
x
4
−
9
x
2
−
25
x
2
+
225
f
(
x
)
=
x
4
−
34
x
2
+
225
The degree of a polynomial is just the leading coefficients power which is 4 in this equation
In order to find the y-intercept we just need to allow
x
=
0
because that is when any equation will cross the y-axis
f
(
x
)
=
0
4
−
34
(
0
)
2
+
225
f
(
x
)
=
225
Answer:
<h2>Option no:- C</h2>
Step-by-step explanation:
y = X+4
y = X-1
√ 2y = 2x - 3
Answer:
The answer is option D
32 + (4c − 6c) + (2 + 6c)
c = 5
32 + ( 4(5) - 6(5)) + (2 + 6 (5)
= 32 + (20 - 30) + ( 2 + 30)
= 32 - 10 + 32
= 54
Hope this helps