Find the inverse of
f^-1(x)=3x-7
f^-1(x)=(x+7)/3
Determine whether f(x) and g(x) are inverses.
f(x)=2x+1
g(x)=1/2x-1
No.
Evaluate the expression:
2log_2(4)+2^-2
4.25
Solve for 'x'. Provide an exact answer as well as a decimal rounded to the nearest tenth.
2*3^x-20=0
x=log_3(10), x=2.1
Evaluate: f(g(2))
5
Find the inverse of
g(x)=2^x+3
g^-1(x)=log_2(x-3)
Determine whether f(x) and g(x) are inverses.
f(x)=2/3x-4
g(x)=(3x+12)/2
Yes.
Evaluate the expression:
3log_5(1/25)+x^(log_x(6)
0
Solve for 'x'.
3log_2(x)+4=19
x=32
Evaluate: f^-1(g(0))
1
Find the inverse of
h(x)=2*3^(x-1)
h^-1(x)=log_3(x/2)+1
Determine whether f(x) and g(x) are inverses.
f(x)=2^(x+1)
g(x)=log_2(x-1)
No.
Evaluate the expression:
log_x(x^3)+2^(log_2(5))
8
Solve for 'x'. Provide an exact answer as well as a decimal rounded to the nearest tenth.
1/2*5^x-12=17
x=log_5(58), x=2.5
Evaluate: f^-1(g^-1(17))
2
Find the inverse of
j(x)=2log_3(x+1)+4
j^-1(x)=3^((x-4)/2)-1
Determine whether f(x) and g(x) are inverses.
f(x)=2log_3(x)+4
g(x)=3^((x-4)/2)
Yes.
Evaluate the expression:
2^(log_4(1/16)-(log_2(4^2))^-1
0
Solve for 'x'. Provide an exact answer as well as a decimal rounded to the nearest tenth.
3*(1/2)^(x-1)+4=22
x=log_(1/2)(6)+1, x=-1.6
Evaluate: g(f^-1(g^-1(4)))
17