Answer:
1) 25
2) 2
3) f(g(1)) = 42
Step-by-step explanation:
1) Given that f(x) = 4x^2 + 9
If x = -2
f(-2) = 4(-2)^2 + 9
f(-2) = 4(4) + 9
f(-2) = 16 + 9
f(-2) = 25
2) Given that f(x) = 4x - 6
y = 4x - 6
Replace y with x
x = 4y - 6
MAke y the subject of the forfmula
4y = x+ 6
y = (x+6)/4
SInce x = 2
f^(-1)(2) = (2+6)/4
f^(-1)(2) = 8/4 = 2
3) If f(x) = 6x and g(x) = x+6
f(g(x)) = f(x+6)
f(x+6) = 6(x+6)
Since x = 1
f(g(1)) = 6(1+6)
f(g(1)) = 6(7)
f(g(1)) = 42
Answer:
<h2>y=8</h2>
Step-by-step explanation:
4y-4=28
4y=28+4
4y=32
y=32/4
y=8
now plug in 8 for y and check the equation true:
4y-4=28
4*(8)-4=28
32-4=28
28=28
So, y is equal to eight 8
Answer:
The value of 
is 17-18x and 
is -7-18x.
Step-by-step explanation:
It is given in the question functions f(x) as 3x+2 and g(x)=5-6x.
It is required to find and .
To find , substitute g(x) for x in f(x) and simplify the expression.
To find , substitute f(x) for x in g(x) and simplify the expression.
Step 1 of 2
Substitute g(x) for x in f(x) and simplify the expression.
Step 2 of 2
Substitute f(x) for x in g(x) and simplify the expression.
A ) y = 2(3) + 7
y = 15
b ) y = 2(-3) + 7
y = 1
I believe it would be the second option....
